Factors of 10080 in pair are (1, 10080) , (2, 5040) , (3, 3360) , (4, 2520) , (5, 2016) , (6, 1680) , (7, 1440) , (8, 1260) , (9, 1120) , (10, 1008) , (12, 840) , (14, 720) , (15, 672) , (16, 630) , (18, 560) , (20, 504) , (21, 480) , (24, 420) , (28, 360) , (30, 336) , (32, 315) , (35, 288) , (36, 280) , (40, 252) , (42, 240) , (45, 224) , (48, 210) , (56, 180) , (60, 168) , (63, 160) , (70, 144) , (72, 140) , (80, 126) , (84, 120) , (90, 112) and (96, 105)

How to find factors of a number in pair

Steps to find factors of 10080 in pair

Example: Find factors of 10080 in pair

Factor Pair Pair Factorization
1 and 10080 1 x 10080 = 10080
2 and 5040 2 x 5040 = 10080
3 and 3360 3 x 3360 = 10080
4 and 2520 4 x 2520 = 10080
5 and 2016 5 x 2016 = 10080
6 and 1680 6 x 1680 = 10080
7 and 1440 7 x 1440 = 10080
8 and 1260 8 x 1260 = 10080
9 and 1120 9 x 1120 = 10080
10 and 1008 10 x 1008 = 10080
12 and 840 12 x 840 = 10080
14 and 720 14 x 720 = 10080
15 and 672 15 x 672 = 10080
16 and 630 16 x 630 = 10080
18 and 560 18 x 560 = 10080
20 and 504 20 x 504 = 10080
21 and 480 21 x 480 = 10080
24 and 420 24 x 420 = 10080
28 and 360 28 x 360 = 10080
30 and 336 30 x 336 = 10080
32 and 315 32 x 315 = 10080
35 and 288 35 x 288 = 10080
36 and 280 36 x 280 = 10080
40 and 252 40 x 252 = 10080
42 and 240 42 x 240 = 10080
45 and 224 45 x 224 = 10080
48 and 210 48 x 210 = 10080
56 and 180 56 x 180 = 10080
60 and 168 60 x 168 = 10080
63 and 160 63 x 160 = 10080
70 and 144 70 x 144 = 10080
72 and 140 72 x 140 = 10080
80 and 126 80 x 126 = 10080
84 and 120 84 x 120 = 10080
90 and 112 90 x 112 = 10080
96 and 105 96 x 105 = 10080

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 10080. They are called negative pair factors.

Hence, the negative pairs of 10080 would be ( -1 , -10080 ) .

Definition of factor pairs?

In mathematics, factor pair are often given as pair of numbers which when multiplied together give the original number. Every natural number is a product of atleast one factor pair. Eg- Factors of 10080 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 18 , 20 , 21 , 24 , 28 , 30 , 32 , 35 , 36 , 40 , 42 , 45 , 48 , 56 , 60 , 63 , 70 , 72 , 80 , 84 , 90 , 96 , 105 , 112 , 120 , 126 , 140 , 144 , 160 , 168 , 180 , 210 , 224 , 240 , 252 , 280 , 288 , 315 , 336 , 360 , 420 , 480 , 504 , 560 , 630 , 672 , 720 , 840 , 1008 , 1120 , 1260 , 1440 , 1680 , 2016 , 2520 , 3360 , 5040 , 10080. So, factors of 10080 in pair are (1,10080), (2,5040), (3,3360), (4,2520), (5,2016), (6,1680), (7,1440), (8,1260), (9,1120), (10,1008), (12,840), (14,720), (15,672), (16,630), (18,560), (20,504), (21,480), (24,420), (28,360), (30,336), (32,315), (35,288), (36,280), (40,252), (42,240), (45,224), (48,210), (56,180), (60,168), (63,160), (70,144), (72,140), (80,126), (84,120), (90,112), (96,105).

What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

Properties of Factors

  • Each number is a factor of itself. Eg. 10080 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 10080.
  • Every number is a factor of zero (0), since 10080 x 0 = 0.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Every factor of a number is an exact divisor of that number, example 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040, 10080 are exact divisors of 10080.
  • Factors of 10080 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040, 10080. Each factor divides 10080 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040, 10080 are all less than or equal to 10080.

Steps to find Factors of 10080

  • Step 1. Find all the numbers that would divide 10080 without leaving any remainder. Starting with the number 1 upto 5040 (half of 10080). The number 1 and the number itself are always factors of the given number.
    10080 ÷ 1 : Remainder = 0
    10080 ÷ 2 : Remainder = 0
    10080 ÷ 3 : Remainder = 0
    10080 ÷ 4 : Remainder = 0
    10080 ÷ 5 : Remainder = 0
    10080 ÷ 6 : Remainder = 0
    10080 ÷ 7 : Remainder = 0
    10080 ÷ 8 : Remainder = 0
    10080 ÷ 9 : Remainder = 0
    10080 ÷ 10 : Remainder = 0
    10080 ÷ 12 : Remainder = 0
    10080 ÷ 14 : Remainder = 0
    10080 ÷ 15 : Remainder = 0
    10080 ÷ 16 : Remainder = 0
    10080 ÷ 18 : Remainder = 0
    10080 ÷ 20 : Remainder = 0
    10080 ÷ 21 : Remainder = 0
    10080 ÷ 24 : Remainder = 0
    10080 ÷ 28 : Remainder = 0
    10080 ÷ 30 : Remainder = 0
    10080 ÷ 32 : Remainder = 0
    10080 ÷ 35 : Remainder = 0
    10080 ÷ 36 : Remainder = 0
    10080 ÷ 40 : Remainder = 0
    10080 ÷ 42 : Remainder = 0
    10080 ÷ 45 : Remainder = 0
    10080 ÷ 48 : Remainder = 0
    10080 ÷ 56 : Remainder = 0
    10080 ÷ 60 : Remainder = 0
    10080 ÷ 63 : Remainder = 0
    10080 ÷ 70 : Remainder = 0
    10080 ÷ 72 : Remainder = 0
    10080 ÷ 80 : Remainder = 0
    10080 ÷ 84 : Remainder = 0
    10080 ÷ 90 : Remainder = 0
    10080 ÷ 96 : Remainder = 0
    10080 ÷ 105 : Remainder = 0
    10080 ÷ 112 : Remainder = 0
    10080 ÷ 120 : Remainder = 0
    10080 ÷ 126 : Remainder = 0
    10080 ÷ 140 : Remainder = 0
    10080 ÷ 144 : Remainder = 0
    10080 ÷ 160 : Remainder = 0
    10080 ÷ 168 : Remainder = 0
    10080 ÷ 180 : Remainder = 0
    10080 ÷ 210 : Remainder = 0
    10080 ÷ 224 : Remainder = 0
    10080 ÷ 240 : Remainder = 0
    10080 ÷ 252 : Remainder = 0
    10080 ÷ 280 : Remainder = 0
    10080 ÷ 288 : Remainder = 0
    10080 ÷ 315 : Remainder = 0
    10080 ÷ 336 : Remainder = 0
    10080 ÷ 360 : Remainder = 0
    10080 ÷ 420 : Remainder = 0
    10080 ÷ 480 : Remainder = 0
    10080 ÷ 504 : Remainder = 0
    10080 ÷ 560 : Remainder = 0
    10080 ÷ 630 : Remainder = 0
    10080 ÷ 672 : Remainder = 0
    10080 ÷ 720 : Remainder = 0
    10080 ÷ 840 : Remainder = 0
    10080 ÷ 1008 : Remainder = 0
    10080 ÷ 1120 : Remainder = 0
    10080 ÷ 1260 : Remainder = 0
    10080 ÷ 1440 : Remainder = 0
    10080 ÷ 1680 : Remainder = 0
    10080 ÷ 2016 : Remainder = 0
    10080 ÷ 2520 : Remainder = 0
    10080 ÷ 3360 : Remainder = 0
    10080 ÷ 5040 : Remainder = 0
    10080 ÷ 10080 : Remainder = 0

Hence, Factors of 10080 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040, and 10080

Frequently Asked Questions

  • Is 10080 a composite number?

    Yes 10080 is a composite number.

  • Is 10080 a prime number?

    No 10080 is not a prime number.

  • What is the mean of factors of 10080?

    Factors of 10080 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 12 , 14 , 15 , 16 , 18 , 20 , 21 , 24 , 28 , 30 , 32 , 35 , 36 , 40 , 42 , 45 , 48 , 56 , 60 , 63 , 70 , 72 , 80 , 84 , 90 , 96 , 105 , 112 , 120 , 126 , 140 , 144 , 160 , 168 , 180 , 210 , 224 , 240 , 252 , 280 , 288 , 315 , 336 , 360 , 420 , 480 , 504 , 560 , 630 , 672 , 720 , 840 , 1008 , 1120 , 1260 , 1440 , 1680 , 2016 , 2520 , 3360 , 5040 , 10080. therefore mean of factors of 10080 is (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 + 20 + 21 + 24 + 28 + 30 + 32 + 35 + 36 + 40 + 42 + 45 + 48 + 56 + 60 + 63 + 70 + 72 + 80 + 84 + 90 + 96 + 105 + 112 + 120 + 126 + 140 + 144 + 160 + 168 + 180 + 210 + 224 + 240 + 252 + 280 + 288 + 315 + 336 + 360 + 420 + 480 + 504 + 560 + 630 + 672 + 720 + 840 + 1008 + 1120 + 1260 + 1440 + 1680 + 2016 + 2520 + 3360 + 5040 + 10080) / 72 = 546.00.

  • What do you mean by proper divisors?

    A number x is said to be the proper divisor of y if it divides y completely, given that x is smaller than y.

  • What do you mean by improper divisors?

    An improper divisor of a number is the number itself apart from this any divisor of a given number is a proper divisor.

Examples of Factors

Ariel has been asked to write all factor pairs of 10080 but she is finding it difficult. Can you help her find out?

Factors of 10080 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040, 10080. So, factors of 10080 in pair are (1,10080), (2,5040), (3,3360), (4,2520), (5,2016), (6,1680), (7,1440), (8,1260), (9,1120), (10,1008), (12,840), (14,720), (15,672), (16,630), (18,560), (20,504), (21,480), (24,420), (28,360), (30,336), (32,315), (35,288), (36,280), (40,252), (42,240), (45,224), (48,210), (56,180), (60,168), (63,160), (70,144), (72,140), (80,126), (84,120), (90,112), (96,105).

Sammy wants to write all the negative factors of 10080 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 10080 are -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -12, -14, -15, -16, -18, -20, -21, -24, -28, -30, -32, -35, -36, -40, -42, -45, -48, -56, -60, -63, -70, -72, -80, -84, -90, -96, -105, -112, -120, -126, -140, -144, -160, -168, -180, -210, -224, -240, -252, -280, -288, -315, -336, -360, -420, -480, -504, -560, -630, -672, -720, -840, -1008, -1120, -1260, -1440, -1680, -2016, -2520, -3360, -5040, -10080. Hence, factors of 10080 in pair are (-1,-10080), (-2,-5040), (-3,-3360), (-4,-2520), (-5,-2016), (-6,-1680), (-7,-1440), (-8,-1260), (-9,-1120), (-10,-1008), (-12,-840), (-14,-720), (-15,-672), (-16,-630), (-18,-560), (-20,-504), (-21,-480), (-24,-420), (-28,-360), (-30,-336), (-32,-315), (-35,-288), (-36,-280), (-40,-252), (-42,-240), (-45,-224), (-48,-210), (-56,-180), (-60,-168), (-63,-160), (-70,-144), (-72,-140), (-80,-126), (-84,-120), (-90,-112), (-96,-105).

Help Deep in writing the positive factors of 10080 in pair and negative factor of 10080 in pair.

Factors of 10080 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040, 10080. Positive factors of 10080 in pair are (1,10080), (2,5040), (3,3360), (4,2520), (5,2016), (6,1680), (7,1440), (8,1260), (9,1120), (10,1008), (12,840), (14,720), (15,672), (16,630), (18,560), (20,504), (21,480), (24,420), (28,360), (30,336), (32,315), (35,288), (36,280), (40,252), (42,240), (45,224), (48,210), (56,180), (60,168), (63,160), (70,144), (72,140), (80,126), (84,120), (90,112), (96,105). Negative factors of 10080 in pair are (-1,-10080), (-2,-5040), (-3,-3360), (-4,-2520), (-5,-2016), (-6,-1680), (-7,-1440), (-8,-1260), (-9,-1120), (-10,-1008), (-12,-840), (-14,-720), (-15,-672), (-16,-630), (-18,-560), (-20,-504), (-21,-480), (-24,-420), (-28,-360), (-30,-336), (-32,-315), (-35,-288), (-36,-280), (-40,-252), (-42,-240), (-45,-224), (-48,-210), (-56,-180), (-60,-168), (-63,-160), (-70,-144), (-72,-140), (-80,-126), (-84,-120), (-90,-112), (-96,-105).

Find the product of all factors of 10080.

Factors of 10080 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040, 10080. So the product of all factors of 10080 would be 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 12 x 14 x 15 x 16 x 18 x 20 x 21 x 24 x 28 x 30 x 32 x 35 x 36 x 40 x 42 x 45 x 48 x 56 x 60 x 63 x 70 x 72 x 80 x 84 x 90 x 96 x 105 x 112 x 120 x 126 x 140 x 144 x 160 x 168 x 180 x 210 x 224 x 240 x 252 x 280 x 288 x 315 x 336 x 360 x 420 x 480 x 504 x 560 x 630 x 672 x 720 x 840 x 1008 x 1120 x 1260 x 1440 x 1680 x 2016 x 2520 x 3360 x 5040 x 10080 = 1.3322298367827939e+144.

Find the product of all prime factors of 10080.

Factors of 10080 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040, 10080. Prime factors are 2, 2, 2, 2, 2, 3, 3, 5, 7. So, the product of all prime factors of 10080 would be 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 = 10080.

Can you help Sammy list the factors of 10080 and also find the factor pairs?

Factors of 10080 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040, 10080.
Factors of 10080 in pair are (1,10080), (2,5040), (3,3360), (4,2520), (5,2016), (6,1680), (7,1440), (8,1260), (9,1120), (10,1008), (12,840), (14,720), (15,672), (16,630), (18,560), (20,504), (21,480), (24,420), (28,360), (30,336), (32,315), (35,288), (36,280), (40,252), (42,240), (45,224), (48,210), (56,180), (60,168), (63,160), (70,144), (72,140), (80,126), (84,120), (90,112), (96,105).

Sammy has 10080 blocks and he wants to arrange them in all possible ways to form a rectangle but he doesn't know the technique for doing that, help Sammy in arrangements.

To arrange 10080 blocks in all possible ways to form a rectangle, we need to calculate factors of 10080 in pair. Therefore, factors of 10080 in pair are (1,10080), (2,5040), (3,3360), (4,2520), (5,2016), (6,1680), (7,1440), (8,1260), (9,1120), (10,1008), (12,840), (14,720), (15,672), (16,630), (18,560), (20,504), (21,480), (24,420), (28,360), (30,336), (32,315), (35,288), (36,280), (40,252), (42,240), (45,224), (48,210), (56,180), (60,168), (63,160), (70,144), (72,140), (80,126), (84,120), (90,112), (96,105)