Factors of 7800 in pair are (1, 7800) , (2, 3900) , (3, 2600) , (4, 1950) , (5, 1560) , (6, 1300) , (8, 975) , (10, 780) , (12, 650) , (13, 600) , (15, 520) , (20, 390) , (24, 325) , (25, 312) , (26, 300) , (30, 260) , (39, 200) , (40, 195) , (50, 156) , (52, 150) , (60, 130) , (65, 120) , (75, 104) and (78, 100)

How to find factors of a number in pair

Steps to find factors of 7800 in pair

Example: Find factors of 7800 in pair

Factor Pair Pair Factorization
1 and 7800 1 x 7800 = 7800
2 and 3900 2 x 3900 = 7800
3 and 2600 3 x 2600 = 7800
4 and 1950 4 x 1950 = 7800
5 and 1560 5 x 1560 = 7800
6 and 1300 6 x 1300 = 7800
8 and 975 8 x 975 = 7800
10 and 780 10 x 780 = 7800
12 and 650 12 x 650 = 7800
13 and 600 13 x 600 = 7800
15 and 520 15 x 520 = 7800
20 and 390 20 x 390 = 7800
24 and 325 24 x 325 = 7800
25 and 312 25 x 312 = 7800
26 and 300 26 x 300 = 7800
30 and 260 30 x 260 = 7800
39 and 200 39 x 200 = 7800
40 and 195 40 x 195 = 7800
50 and 156 50 x 156 = 7800
52 and 150 52 x 150 = 7800
60 and 130 60 x 130 = 7800
65 and 120 65 x 120 = 7800
75 and 104 75 x 104 = 7800
78 and 100 78 x 100 = 7800

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 7800. They are called negative pair factors.

Hence, the negative pairs of 7800 would be ( -1 , -7800 ) .

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 7800 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 13 , 15 , 20 , 24 , 25 , 26 , 30 , 39 , 40 , 50 , 52 , 60 , 65 , 75 , 78 , 100 , 104 , 120 , 130 , 150 , 156 , 195 , 200 , 260 , 300 , 312 , 325 , 390 , 520 , 600 , 650 , 780 , 975 , 1300 , 1560 , 1950 , 2600 , 3900 , 7800. So, factors of 7800 in pair are (1,7800), (2,3900), (3,2600), (4,1950), (5,1560), (6,1300), (8,975), (10,780), (12,650), (13,600), (15,520), (20,390), (24,325), (25,312), (26,300), (30,260), (39,200), (40,195), (50,156), (52,150), (60,130), (65,120), (75,104), (78,100).

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. 7800 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 7800.
  • Every number is a factor of zero (0), since 7800 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, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800 are exact divisors of 7800.
  • Factors of 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800. Each factor divides 7800 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, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800 are all less than or equal to 7800.

Steps to find Factors of 7800

  • Step 1. Find all the numbers that would divide 7800 without leaving any remainder. Starting with the number 1 upto 3900 (half of 7800). The number 1 and the number itself are always factors of the given number.
    7800 ÷ 1 : Remainder = 0
    7800 ÷ 2 : Remainder = 0
    7800 ÷ 3 : Remainder = 0
    7800 ÷ 4 : Remainder = 0
    7800 ÷ 5 : Remainder = 0
    7800 ÷ 6 : Remainder = 0
    7800 ÷ 8 : Remainder = 0
    7800 ÷ 10 : Remainder = 0
    7800 ÷ 12 : Remainder = 0
    7800 ÷ 13 : Remainder = 0
    7800 ÷ 15 : Remainder = 0
    7800 ÷ 20 : Remainder = 0
    7800 ÷ 24 : Remainder = 0
    7800 ÷ 25 : Remainder = 0
    7800 ÷ 26 : Remainder = 0
    7800 ÷ 30 : Remainder = 0
    7800 ÷ 39 : Remainder = 0
    7800 ÷ 40 : Remainder = 0
    7800 ÷ 50 : Remainder = 0
    7800 ÷ 52 : Remainder = 0
    7800 ÷ 60 : Remainder = 0
    7800 ÷ 65 : Remainder = 0
    7800 ÷ 75 : Remainder = 0
    7800 ÷ 78 : Remainder = 0
    7800 ÷ 100 : Remainder = 0
    7800 ÷ 104 : Remainder = 0
    7800 ÷ 120 : Remainder = 0
    7800 ÷ 130 : Remainder = 0
    7800 ÷ 150 : Remainder = 0
    7800 ÷ 156 : Remainder = 0
    7800 ÷ 195 : Remainder = 0
    7800 ÷ 200 : Remainder = 0
    7800 ÷ 260 : Remainder = 0
    7800 ÷ 300 : Remainder = 0
    7800 ÷ 312 : Remainder = 0
    7800 ÷ 325 : Remainder = 0
    7800 ÷ 390 : Remainder = 0
    7800 ÷ 520 : Remainder = 0
    7800 ÷ 600 : Remainder = 0
    7800 ÷ 650 : Remainder = 0
    7800 ÷ 780 : Remainder = 0
    7800 ÷ 975 : Remainder = 0
    7800 ÷ 1300 : Remainder = 0
    7800 ÷ 1560 : Remainder = 0
    7800 ÷ 1950 : Remainder = 0
    7800 ÷ 2600 : Remainder = 0
    7800 ÷ 3900 : Remainder = 0
    7800 ÷ 7800 : Remainder = 0

Hence, Factors of 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, and 7800

Frequently Asked Questions

  • Is 7800 a composite number?

    Yes 7800 is a composite number.

  • Is 7800 a prime number?

    No 7800 is not a prime number.

  • What is the mean of factors of 7800?

    Factors of 7800 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 13 , 15 , 20 , 24 , 25 , 26 , 30 , 39 , 40 , 50 , 52 , 60 , 65 , 75 , 78 , 100 , 104 , 120 , 130 , 150 , 156 , 195 , 200 , 260 , 300 , 312 , 325 , 390 , 520 , 600 , 650 , 780 , 975 , 1300 , 1560 , 1950 , 2600 , 3900 , 7800. therefore mean of factors of 7800 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 13 + 15 + 20 + 24 + 25 + 26 + 30 + 39 + 40 + 50 + 52 + 60 + 65 + 75 + 78 + 100 + 104 + 120 + 130 + 150 + 156 + 195 + 200 + 260 + 300 + 312 + 325 + 390 + 520 + 600 + 650 + 780 + 975 + 1300 + 1560 + 1950 + 2600 + 3900 + 7800) / 48 = 542.50.

  • 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 7800 but she is finding it difficult. Can you help her find out?

Factors of 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800. So, factors of 7800 in pair are (1,7800), (2,3900), (3,2600), (4,1950), (5,1560), (6,1300), (8,975), (10,780), (12,650), (13,600), (15,520), (20,390), (24,325), (25,312), (26,300), (30,260), (39,200), (40,195), (50,156), (52,150), (60,130), (65,120), (75,104), (78,100).

Sammy wants to write all the negative factors of 7800 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 7800 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -13, -15, -20, -24, -25, -26, -30, -39, -40, -50, -52, -60, -65, -75, -78, -100, -104, -120, -130, -150, -156, -195, -200, -260, -300, -312, -325, -390, -520, -600, -650, -780, -975, -1300, -1560, -1950, -2600, -3900, -7800. Hence, factors of 7800 in pair are (-1,-7800), (-2,-3900), (-3,-2600), (-4,-1950), (-5,-1560), (-6,-1300), (-8,-975), (-10,-780), (-12,-650), (-13,-600), (-15,-520), (-20,-390), (-24,-325), (-25,-312), (-26,-300), (-30,-260), (-39,-200), (-40,-195), (-50,-156), (-52,-150), (-60,-130), (-65,-120), (-75,-104), (-78,-100).

Help Deep in writing the positive factors of 7800 in pair and negative factor of 7800 in pair.

Factors of 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800. Positive factors of 7800 in pair are (1,7800), (2,3900), (3,2600), (4,1950), (5,1560), (6,1300), (8,975), (10,780), (12,650), (13,600), (15,520), (20,390), (24,325), (25,312), (26,300), (30,260), (39,200), (40,195), (50,156), (52,150), (60,130), (65,120), (75,104), (78,100). Negative factors of 7800 in pair are (-1,-7800), (-2,-3900), (-3,-2600), (-4,-1950), (-5,-1560), (-6,-1300), (-8,-975), (-10,-780), (-12,-650), (-13,-600), (-15,-520), (-20,-390), (-24,-325), (-25,-312), (-26,-300), (-30,-260), (-39,-200), (-40,-195), (-50,-156), (-52,-150), (-60,-130), (-65,-120), (-75,-104), (-78,-100).

Find the product of all factors of 7800.

Factors of 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800. So the product of all factors of 7800 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 10 x 12 x 13 x 15 x 20 x 24 x 25 x 26 x 30 x 39 x 40 x 50 x 52 x 60 x 65 x 75 x 78 x 100 x 104 x 120 x 130 x 150 x 156 x 195 x 200 x 260 x 300 x 312 x 325 x 390 x 520 x 600 x 650 x 780 x 975 x 1300 x 1560 x 1950 x 2600 x 3900 x 7800 = 2.5719970407685134e+93.

Find the product of all prime factors of 7800.

Factors of 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800. Prime factors are 2, 2, 2, 3, 5, 5, 13. So, the product of all prime factors of 7800 would be 2 x 2 x 2 x 3 x 5 x 5 x 13 = 7800.

Can you help Sammy list the factors of 7800 and also find the factor pairs?

Factors of 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800.
Factors of 7800 in pair are (1,7800), (2,3900), (3,2600), (4,1950), (5,1560), (6,1300), (8,975), (10,780), (12,650), (13,600), (15,520), (20,390), (24,325), (25,312), (26,300), (30,260), (39,200), (40,195), (50,156), (52,150), (60,130), (65,120), (75,104), (78,100).

Sammy has 7800 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 7800 blocks in all possible ways to form a rectangle, we need to calculate factors of 7800 in pair. Therefore, factors of 7800 in pair are (1,7800), (2,3900), (3,2600), (4,1950), (5,1560), (6,1300), (8,975), (10,780), (12,650), (13,600), (15,520), (20,390), (24,325), (25,312), (26,300), (30,260), (39,200), (40,195), (50,156), (52,150), (60,130), (65,120), (75,104), (78,100)