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

How to find factors of a number

1. Steps to find factors of 9600 using Division Method

Example: Find factors of 9600

  • Divide 9600 by 1: 9600 ÷ 1 : Remainder = 0
  • Divide 9600 by 2: 9600 ÷ 2 : Remainder = 0
  • Divide 9600 by 3: 9600 ÷ 3 : Remainder = 0
  • Divide 9600 by 4: 9600 ÷ 4 : Remainder = 0
  • Divide 9600 by 5: 9600 ÷ 5 : Remainder = 0
  • Divide 9600 by 6: 9600 ÷ 6 : Remainder = 0
  • Divide 9600 by 8: 9600 ÷ 8 : Remainder = 0
  • Divide 9600 by 10: 9600 ÷ 10 : Remainder = 0
  • Divide 9600 by 12: 9600 ÷ 12 : Remainder = 0
  • Divide 9600 by 15: 9600 ÷ 15 : Remainder = 0
  • Divide 9600 by 16: 9600 ÷ 16 : Remainder = 0
  • Divide 9600 by 20: 9600 ÷ 20 : Remainder = 0
  • Divide 9600 by 24: 9600 ÷ 24 : Remainder = 0
  • Divide 9600 by 25: 9600 ÷ 25 : Remainder = 0
  • Divide 9600 by 30: 9600 ÷ 30 : Remainder = 0
  • Divide 9600 by 32: 9600 ÷ 32 : Remainder = 0
  • Divide 9600 by 40: 9600 ÷ 40 : Remainder = 0
  • Divide 9600 by 48: 9600 ÷ 48 : Remainder = 0
  • Divide 9600 by 50: 9600 ÷ 50 : Remainder = 0
  • Divide 9600 by 60: 9600 ÷ 60 : Remainder = 0
  • Divide 9600 by 64: 9600 ÷ 64 : Remainder = 0
  • Divide 9600 by 75: 9600 ÷ 75 : Remainder = 0
  • Divide 9600 by 80: 9600 ÷ 80 : Remainder = 0
  • Divide 9600 by 96: 9600 ÷ 96 : Remainder = 0
  • Divide 9600 by 100: 9600 ÷ 100 : Remainder = 0
  • Divide 9600 by 120: 9600 ÷ 120 : Remainder = 0
  • Divide 9600 by 128: 9600 ÷ 128 : Remainder = 0
  • Divide 9600 by 150: 9600 ÷ 150 : Remainder = 0
  • Divide 9600 by 160: 9600 ÷ 160 : Remainder = 0
  • Divide 9600 by 192: 9600 ÷ 192 : Remainder = 0
  • Divide 9600 by 200: 9600 ÷ 200 : Remainder = 0
  • Divide 9600 by 240: 9600 ÷ 240 : Remainder = 0
  • Divide 9600 by 300: 9600 ÷ 300 : Remainder = 0
  • Divide 9600 by 320: 9600 ÷ 320 : Remainder = 0
  • Divide 9600 by 384: 9600 ÷ 384 : Remainder = 0
  • Divide 9600 by 400: 9600 ÷ 400 : Remainder = 0
  • Divide 9600 by 480: 9600 ÷ 480 : Remainder = 0
  • Divide 9600 by 600: 9600 ÷ 600 : Remainder = 0
  • Divide 9600 by 640: 9600 ÷ 640 : Remainder = 0
  • Divide 9600 by 800: 9600 ÷ 800 : Remainder = 0
  • Divide 9600 by 960: 9600 ÷ 960 : Remainder = 0
  • Divide 9600 by 1200: 9600 ÷ 1200 : Remainder = 0
  • Divide 9600 by 1600: 9600 ÷ 1600 : Remainder = 0
  • Divide 9600 by 1920: 9600 ÷ 1920 : Remainder = 0
  • Divide 9600 by 2400: 9600 ÷ 2400 : Remainder = 0
  • Divide 9600 by 3200: 9600 ÷ 3200 : Remainder = 0
  • Divide 9600 by 4800: 9600 ÷ 4800 : Remainder = 0
  • Divide 9600 by 9600: 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

2. Steps to find factors of 9600 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 9600 using the division method, follow these steps:

  • Step 1. Start dividing 9600 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
  • Step 2. After finding the smallest prime factor of the number 9600, which is 2. Divide 9600 by 2 to obtain the quotient (4800).
    9600 ÷ 2 = 4800
  • Step 3. Repeat step 1 with the obtained quotient (4800).
    4800 ÷ 2 = 2400
    2400 ÷ 2 = 1200
    1200 ÷ 2 = 600
    600 ÷ 2 = 300
    300 ÷ 2 = 150
    150 ÷ 2 = 75
    75 ÷ 3 = 25
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So, the prime factorization of 9600 is, 9600 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 9600 as shown below:

So, the prime factorization of 9600 is, 9600 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5.

3. Find factors of 9600 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 9600 would be the two numbers which, when multiplied, give 9600 as the result.

The following table represents the calculation of factors of 9600 in pairs:

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 ) , ( -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 ) .

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.

Frequently Asked Questions

  • How do you find factors of a negative number? ( eg. -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.

  • What is the sum of all factors of 9600?

    The sum of all factors of 9600 is 31620.

  • What is prime factorization of 9600?

    Prime factorization of 9600 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5.

  • What are the pair factors of 9600?

    Pair factors of 9600 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 six multiples of 9600?

    First five multiples of 9600 are 19200, 28800, 38400, 48000, 57600, 67200.

  • Is 9600 a whole number?

    Yes 9600 is a whole number.

  • Which is the smallest prime factor of 9600?

    Smallest prime factor of 9600 is 2.

  • What are five multiples of 9600?

    First five multiples of 9600 are 19200, 28800, 38400, 48000, 57600.

  • Write 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.

Examples of Factors

Joey wants to write all the prime factors of 9600 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 9600 are 2, 2, 2, 2, 2, 2, 2, 3, 5, 5.
So in exponential form it can be written as 27 x 3 x 52.

How many factors are there for 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 there are in total 48 factors.

Kevin has been asked to write 47 factor(s) of 9600. Can you predict the answer?

47 factor(s) 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.

Sammy is puzzled while calculating the prime factors of 9600. Can you help him find them?

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 of 9600 are 2, 2, 2, 2, 2, 2, 2, 3, 5, 5

What is prime factorization of 9600?

Prime factorization of 9600 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 = 27 x 3 x 52.

Ariel has been assigned the task to find the product of all the prime factors of 9600. Can you help her?

Prime factors of 9600 are 2, 2, 2, 2, 2, 2, 2, 3, 5, 5.
Hence, the product of prime factors of 30.

Can you help Rubel to find out the product of the even 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.
Even factors of 9600 are 2, 4, 6, 8, 10, 12, 16, 20, 24, 30, 32, 40, 48, 50, 60, 64, 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, product of even factors of 9600 is; 2 x 4 x 6 x 8 x 10 x 12 x 16 x 20 x 24 x 30 x 32 x 40 x 48 x 50 x 60 x 64 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 = 8.898684366864649e+89.