Factors of 9600 in pair are (1, 9600) , (2, 4800) , (3, 3200) , (4, 2400) , (5, 1920) , (6, 1600) , (8, 1200) , (10, 960) , (12, 800) , (15, 640) , (16, 600) , (20, 480) , (24, 400) , (25, 384) , (30, 320) , (32, 300) , (40, 240) , (48, 200) , (50, 192) , (60, 160) , (64, 150) , (75, 128) , (80, 120) and (96, 100)

How to find factors of a number in pair

Steps to find factors of 9600 in pair

Example: Find factors of 9600 in pair

Factor Pair Pair Factorization
1 and 9600 1 x 9600 = 9600
2 and 4800 2 x 4800 = 9600
3 and 3200 3 x 3200 = 9600
4 and 2400 4 x 2400 = 9600
5 and 1920 5 x 1920 = 9600
6 and 1600 6 x 1600 = 9600
8 and 1200 8 x 1200 = 9600
10 and 960 10 x 960 = 9600
12 and 800 12 x 800 = 9600
15 and 640 15 x 640 = 9600
16 and 600 16 x 600 = 9600
20 and 480 20 x 480 = 9600
24 and 400 24 x 400 = 9600
25 and 384 25 x 384 = 9600
30 and 320 30 x 320 = 9600
32 and 300 32 x 300 = 9600
40 and 240 40 x 240 = 9600
48 and 200 48 x 200 = 9600
50 and 192 50 x 192 = 9600
60 and 160 60 x 160 = 9600
64 and 150 64 x 150 = 9600
75 and 128 75 x 128 = 9600
80 and 120 80 x 120 = 9600
96 and 100 96 x 100 = 9600

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 9600. They are called negative pair factors.

Hence, the negative pairs of 9600 would be ( -1 , -9600 ) .

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 9600 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 32 , 40 , 48 , 50 , 60 , 64 , 75 , 80 , 96 , 100 , 120 , 128 , 150 , 160 , 192 , 200 , 240 , 300 , 320 , 384 , 400 , 480 , 600 , 640 , 800 , 960 , 1200 , 1600 , 1920 , 2400 , 3200 , 4800 , 9600. So, factors of 9600 in pair are (1,9600), (2,4800), (3,3200), (4,2400), (5,1920), (6,1600), (8,1200), (10,960), (12,800), (15,640), (16,600), (20,480), (24,400), (25,384), (30,320), (32,300), (40,240), (48,200), (50,192), (60,160), (64,150), (75,128), (80,120), (96,100).

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. 9600 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 9600.
  • Every number is a factor of zero (0), since 9600 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, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600 are exact divisors of 9600.
  • Factors of 9600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600. Each factor divides 9600 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, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600 are all less than or equal to 9600.

Steps to find Factors of 9600

  • Step 1. Find all the numbers that would divide 9600 without leaving any remainder. Starting with the number 1 upto 4800 (half of 9600). The number 1 and the number itself are always factors of the given number.
    9600 ÷ 1 : Remainder = 0
    9600 ÷ 2 : Remainder = 0
    9600 ÷ 3 : Remainder = 0
    9600 ÷ 4 : Remainder = 0
    9600 ÷ 5 : Remainder = 0
    9600 ÷ 6 : Remainder = 0
    9600 ÷ 8 : Remainder = 0
    9600 ÷ 10 : Remainder = 0
    9600 ÷ 12 : Remainder = 0
    9600 ÷ 15 : Remainder = 0
    9600 ÷ 16 : Remainder = 0
    9600 ÷ 20 : Remainder = 0
    9600 ÷ 24 : Remainder = 0
    9600 ÷ 25 : Remainder = 0
    9600 ÷ 30 : Remainder = 0
    9600 ÷ 32 : Remainder = 0
    9600 ÷ 40 : Remainder = 0
    9600 ÷ 48 : Remainder = 0
    9600 ÷ 50 : Remainder = 0
    9600 ÷ 60 : Remainder = 0
    9600 ÷ 64 : Remainder = 0
    9600 ÷ 75 : Remainder = 0
    9600 ÷ 80 : Remainder = 0
    9600 ÷ 96 : Remainder = 0
    9600 ÷ 100 : Remainder = 0
    9600 ÷ 120 : Remainder = 0
    9600 ÷ 128 : Remainder = 0
    9600 ÷ 150 : Remainder = 0
    9600 ÷ 160 : Remainder = 0
    9600 ÷ 192 : Remainder = 0
    9600 ÷ 200 : Remainder = 0
    9600 ÷ 240 : Remainder = 0
    9600 ÷ 300 : Remainder = 0
    9600 ÷ 320 : Remainder = 0
    9600 ÷ 384 : Remainder = 0
    9600 ÷ 400 : Remainder = 0
    9600 ÷ 480 : Remainder = 0
    9600 ÷ 600 : Remainder = 0
    9600 ÷ 640 : Remainder = 0
    9600 ÷ 800 : Remainder = 0
    9600 ÷ 960 : Remainder = 0
    9600 ÷ 1200 : Remainder = 0
    9600 ÷ 1600 : Remainder = 0
    9600 ÷ 1920 : Remainder = 0
    9600 ÷ 2400 : Remainder = 0
    9600 ÷ 3200 : Remainder = 0
    9600 ÷ 4800 : Remainder = 0
    9600 ÷ 9600 : Remainder = 0

Hence, Factors of 9600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, and 9600

Frequently Asked Questions

  • Is 9600 a composite number?

    Yes 9600 is a composite number.

  • Is 9600 a prime number?

    No 9600 is not a prime number.

  • What is the mean of factors of 9600?

    Factors of 9600 are 1 , 2 , 3 , 4 , 5 , 6 , 8 , 10 , 12 , 15 , 16 , 20 , 24 , 25 , 30 , 32 , 40 , 48 , 50 , 60 , 64 , 75 , 80 , 96 , 100 , 120 , 128 , 150 , 160 , 192 , 200 , 240 , 300 , 320 , 384 , 400 , 480 , 600 , 640 , 800 , 960 , 1200 , 1600 , 1920 , 2400 , 3200 , 4800 , 9600. therefore mean of factors of 9600 is (1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 16 + 20 + 24 + 25 + 30 + 32 + 40 + 48 + 50 + 60 + 64 + 75 + 80 + 96 + 100 + 120 + 128 + 150 + 160 + 192 + 200 + 240 + 300 + 320 + 384 + 400 + 480 + 600 + 640 + 800 + 960 + 1200 + 1600 + 1920 + 2400 + 3200 + 4800 + 9600) / 48 = 658.75.

  • 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 9600 but she is finding it difficult. Can you help her find out?

Factors of 9600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600. So, factors of 9600 in pair are (1,9600), (2,4800), (3,3200), (4,2400), (5,1920), (6,1600), (8,1200), (10,960), (12,800), (15,640), (16,600), (20,480), (24,400), (25,384), (30,320), (32,300), (40,240), (48,200), (50,192), (60,160), (64,150), (75,128), (80,120), (96,100).

Sammy wants to write all the negative factors of 9600 in pair, but don't know how to start. Help Sammy in writing all the factor pairs.

Negative factors of 9600 are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -25, -30, -32, -40, -48, -50, -60, -64, -75, -80, -96, -100, -120, -128, -150, -160, -192, -200, -240, -300, -320, -384, -400, -480, -600, -640, -800, -960, -1200, -1600, -1920, -2400, -3200, -4800, -9600. Hence, factors of 9600 in pair are (-1,-9600), (-2,-4800), (-3,-3200), (-4,-2400), (-5,-1920), (-6,-1600), (-8,-1200), (-10,-960), (-12,-800), (-15,-640), (-16,-600), (-20,-480), (-24,-400), (-25,-384), (-30,-320), (-32,-300), (-40,-240), (-48,-200), (-50,-192), (-60,-160), (-64,-150), (-75,-128), (-80,-120), (-96,-100).

Help Deep in writing the positive factors of 9600 in pair and negative factor of 9600 in pair.

Factors of 9600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600. Positive factors of 9600 in pair are (1,9600), (2,4800), (3,3200), (4,2400), (5,1920), (6,1600), (8,1200), (10,960), (12,800), (15,640), (16,600), (20,480), (24,400), (25,384), (30,320), (32,300), (40,240), (48,200), (50,192), (60,160), (64,150), (75,128), (80,120), (96,100). Negative factors of 9600 in pair are (-1,-9600), (-2,-4800), (-3,-3200), (-4,-2400), (-5,-1920), (-6,-1600), (-8,-1200), (-10,-960), (-12,-800), (-15,-640), (-16,-600), (-20,-480), (-24,-400), (-25,-384), (-30,-320), (-32,-300), (-40,-240), (-48,-200), (-50,-192), (-60,-160), (-64,-150), (-75,-128), (-80,-120), (-96,-100).

Find the product of all factors of 9600.

Factors of 9600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600. So the product of all factors of 9600 would be 1 x 2 x 3 x 4 x 5 x 6 x 8 x 10 x 12 x 15 x 16 x 20 x 24 x 25 x 30 x 32 x 40 x 48 x 50 x 60 x 64 x 75 x 80 x 96 x 100 x 120 x 128 x 150 x 160 x 192 x 200 x 240 x 300 x 320 x 384 x 400 x 480 x 600 x 640 x 800 x 960 x 1200 x 1600 x 1920 x 2400 x 3200 x 4800 x 9600 = 3.7541324672710234e+95.

Find the product of all prime factors of 9600.

Factors of 9600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600. Prime factors are 2, 2, 2, 2, 2, 2, 2, 3, 5, 5. So, the product of all prime factors of 9600 would be 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 = 9600.

Can you help Sammy list the factors of 9600 and also find the factor pairs?

Factors of 9600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600.
Factors of 9600 in pair are (1,9600), (2,4800), (3,3200), (4,2400), (5,1920), (6,1600), (8,1200), (10,960), (12,800), (15,640), (16,600), (20,480), (24,400), (25,384), (30,320), (32,300), (40,240), (48,200), (50,192), (60,160), (64,150), (75,128), (80,120), (96,100).

Sammy has 9600 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 9600 blocks in all possible ways to form a rectangle, we need to calculate factors of 9600 in pair. Therefore, factors of 9600 in pair are (1,9600), (2,4800), (3,3200), (4,2400), (5,1920), (6,1600), (8,1200), (10,960), (12,800), (15,640), (16,600), (20,480), (24,400), (25,384), (30,320), (32,300), (40,240), (48,200), (50,192), (60,160), (64,150), (75,128), (80,120), (96,100)