Factors of 6240 in pair are (1, 6240) , (2, 3120) , (3, 2080) , (4, 1560) , (5, 1248) , (6, 1040) , (8, 780) , (10, 624) , (12, 520) , (13, 480) , (15, 416) , (16, 390) , (20, 312) , (24, 260) , (26, 240) , (30, 208) , (32, 195) , (39, 160) , (40, 156) , (48, 130) , (52, 120) , (60, 104) , (65, 96) and (78, 80)

How to find factors of a number in pair

Steps to find factors of 6240 in pair

Example: Find factors of 6240 in pair

Factor Pair Pair Factorization
1 and 6240 1 x 6240 = 6240
2 and 3120 2 x 3120 = 6240
3 and 2080 3 x 2080 = 6240
4 and 1560 4 x 1560 = 6240
5 and 1248 5 x 1248 = 6240
6 and 1040 6 x 1040 = 6240
8 and 780 8 x 780 = 6240
10 and 624 10 x 624 = 6240
12 and 520 12 x 520 = 6240
13 and 480 13 x 480 = 6240
15 and 416 15 x 416 = 6240
16 and 390 16 x 390 = 6240
20 and 312 20 x 312 = 6240
24 and 260 24 x 260 = 6240
26 and 240 26 x 240 = 6240
30 and 208 30 x 208 = 6240
32 and 195 32 x 195 = 6240
39 and 160 39 x 160 = 6240
40 and 156 40 x 156 = 6240
48 and 130 48 x 130 = 6240
52 and 120 52 x 120 = 6240
60 and 104 60 x 104 = 6240
65 and 96 65 x 96 = 6240
78 and 80 78 x 80 = 6240

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 6240. They are called negative pair factors.

Hence, the negative pairs of 6240 would be ( -1 , -6240 ) .

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 6240 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 13 , 15 , 16 , 20 , 24 , 26 , 30 , 32 , 39 , 40 , 48 , 52 , 60 , 65 , 78 , 80 , 96 , 104 , 120 , 130 , 156 , 160 , 195 , 208 , 240 , 260 , 312 , 390 , 416 , 480 , 520 , 624 , 780 , 1040 , 1248 , 1560 , 2080 , 3120 , 6240. So, factors of 6240 in pair are (1,6240), (2,3120), (3,2080), (4,1560), (5,1248), (6,1040), (8,780), (10,624), (12,520), (13,480), (15,416), (16,390), (20,312), (24,260), (26,240), (30,208), (32,195), (39,160), (40,156), (48,130), (52,120), (60,104), (65,96), (78,80).

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. 6240 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 6240.
  • Every number is a factor of zero (0), since 6240 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, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120, 6240 are exact divisors of 6240.
  • Factors of 6240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120, 6240. Each factor divides 6240 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120, 6240 are all less than or equal to 6240.

Steps to find Factors of 6240

  • Step 1. Find all the numbers that would divide 6240 without leaving any remainder. Starting with the number 1 upto 3120 (half of 6240). The number 1 and the number itself are always factors of the given number.
    6240 ÷ 1 : Remainder = 0
    6240 ÷ 2 : Remainder = 0
    6240 ÷ 3 : Remainder = 0
    6240 ÷ 4 : Remainder = 0
    6240 ÷ 5 : Remainder = 0
    6240 ÷ 6 : Remainder = 0
    6240 ÷ 8 : Remainder = 0
    6240 ÷ 10 : Remainder = 0
    6240 ÷ 12 : Remainder = 0
    6240 ÷ 13 : Remainder = 0
    6240 ÷ 15 : Remainder = 0
    6240 ÷ 16 : Remainder = 0
    6240 ÷ 20 : Remainder = 0
    6240 ÷ 24 : Remainder = 0
    6240 ÷ 26 : Remainder = 0
    6240 ÷ 30 : Remainder = 0
    6240 ÷ 32 : Remainder = 0
    6240 ÷ 39 : Remainder = 0
    6240 ÷ 40 : Remainder = 0
    6240 ÷ 48 : Remainder = 0
    6240 ÷ 52 : Remainder = 0
    6240 ÷ 60 : Remainder = 0
    6240 ÷ 65 : Remainder = 0
    6240 ÷ 78 : Remainder = 0
    6240 ÷ 80 : Remainder = 0
    6240 ÷ 96 : Remainder = 0
    6240 ÷ 104 : Remainder = 0
    6240 ÷ 120 : Remainder = 0
    6240 ÷ 130 : Remainder = 0
    6240 ÷ 156 : Remainder = 0
    6240 ÷ 160 : Remainder = 0
    6240 ÷ 195 : Remainder = 0
    6240 ÷ 208 : Remainder = 0
    6240 ÷ 240 : Remainder = 0
    6240 ÷ 260 : Remainder = 0
    6240 ÷ 312 : Remainder = 0
    6240 ÷ 390 : Remainder = 0
    6240 ÷ 416 : Remainder = 0
    6240 ÷ 480 : Remainder = 0
    6240 ÷ 520 : Remainder = 0
    6240 ÷ 624 : Remainder = 0
    6240 ÷ 780 : Remainder = 0
    6240 ÷ 1040 : Remainder = 0
    6240 ÷ 1248 : Remainder = 0
    6240 ÷ 1560 : Remainder = 0
    6240 ÷ 2080 : Remainder = 0
    6240 ÷ 3120 : Remainder = 0
    6240 ÷ 6240 : Remainder = 0

Hence, Factors of 6240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120, and 6240

Frequently Asked Questions

  • Is 6240 a composite number?

    Yes 6240 is a composite number.

  • Is 6240 a prime number?

    No 6240 is not a prime number.

  • What is the mean of factors of 6240?

    Factors of 6240 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 13 , 15 , 16 , 20 , 24 , 26 , 30 , 32 , 39 , 40 , 48 , 52 , 60 , 65 , 78 , 80 , 96 , 104 , 120 , 130 , 156 , 160 , 195 , 208 , 240 , 260 , 312 , 390 , 416 , 480 , 520 , 624 , 780 , 1040 , 1248 , 1560 , 2080 , 3120 , 6240. therefore mean of factors of 6240 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 13 + 15 + 16 + 20 + 24 + 26 + 30 + 32 + 39 + 40 + 48 + 52 + 60 + 65 + 78 + 80 + 96 + 104 + 120 + 130 + 156 + 160 + 195 + 208 + 240 + 260 + 312 + 390 + 416 + 480 + 520 + 624 + 780 + 1040 + 1248 + 1560 + 2080 + 3120 + 6240) / 48 = 441.00.

  • 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 6240 but she is finding it difficult. Can you help her find out?

Factors of 6240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120, 6240. So, factors of 6240 in pair are (1,6240), (2,3120), (3,2080), (4,1560), (5,1248), (6,1040), (8,780), (10,624), (12,520), (13,480), (15,416), (16,390), (20,312), (24,260), (26,240), (30,208), (32,195), (39,160), (40,156), (48,130), (52,120), (60,104), (65,96), (78,80).

Sammy wants to write all the negative factors of 6240 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 6240 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -13, -15, -16, -20, -24, -26, -30, -32, -39, -40, -48, -52, -60, -65, -78, -80, -96, -104, -120, -130, -156, -160, -195, -208, -240, -260, -312, -390, -416, -480, -520, -624, -780, -1040, -1248, -1560, -2080, -3120, -6240. Hence, factors of 6240 in pair are (-1,-6240), (-2,-3120), (-3,-2080), (-4,-1560), (-5,-1248), (-6,-1040), (-8,-780), (-10,-624), (-12,-520), (-13,-480), (-15,-416), (-16,-390), (-20,-312), (-24,-260), (-26,-240), (-30,-208), (-32,-195), (-39,-160), (-40,-156), (-48,-130), (-52,-120), (-60,-104), (-65,-96), (-78,-80).

Help Deep in writing the positive factors of 6240 in pair and negative factor of 6240 in pair.

Factors of 6240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120, 6240. Positive factors of 6240 in pair are (1,6240), (2,3120), (3,2080), (4,1560), (5,1248), (6,1040), (8,780), (10,624), (12,520), (13,480), (15,416), (16,390), (20,312), (24,260), (26,240), (30,208), (32,195), (39,160), (40,156), (48,130), (52,120), (60,104), (65,96), (78,80). Negative factors of 6240 in pair are (-1,-6240), (-2,-3120), (-3,-2080), (-4,-1560), (-5,-1248), (-6,-1040), (-8,-780), (-10,-624), (-12,-520), (-13,-480), (-15,-416), (-16,-390), (-20,-312), (-24,-260), (-26,-240), (-30,-208), (-32,-195), (-39,-160), (-40,-156), (-48,-130), (-52,-120), (-60,-104), (-65,-96), (-78,-80).

Find the product of all factors of 6240.

Factors of 6240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120, 6240. So the product of all factors of 6240 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 10 x 12 x 13 x 15 x 16 x 20 x 24 x 26 x 30 x 32 x 39 x 40 x 48 x 52 x 60 x 65 x 78 x 80 x 96 x 104 x 120 x 130 x 156 x 160 x 195 x 208 x 240 x 260 x 312 x 390 x 416 x 480 x 520 x 624 x 780 x 1040 x 1248 x 1560 x 2080 x 3120 x 6240 = 1.2145912619365145e+91.

Find the product of all prime factors of 6240.

Factors of 6240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120, 6240. Prime factors are 2, 2, 2, 2, 2, 3, 5, 13. So, the product of all prime factors of 6240 would be 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 = 6240.

Can you help Sammy list the factors of 6240 and also find the factor pairs?

Factors of 6240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120, 6240.
Factors of 6240 in pair are (1,6240), (2,3120), (3,2080), (4,1560), (5,1248), (6,1040), (8,780), (10,624), (12,520), (13,480), (15,416), (16,390), (20,312), (24,260), (26,240), (30,208), (32,195), (39,160), (40,156), (48,130), (52,120), (60,104), (65,96), (78,80).

Sammy has 6240 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 6240 blocks in all possible ways to form a rectangle, we need to calculate factors of 6240 in pair. Therefore, factors of 6240 in pair are (1,6240), (2,3120), (3,2080), (4,1560), (5,1248), (6,1040), (8,780), (10,624), (12,520), (13,480), (15,416), (16,390), (20,312), (24,260), (26,240), (30,208), (32,195), (39,160), (40,156), (48,130), (52,120), (60,104), (65,96), (78,80)