Factors of 96

The factors of 96 are the numbers, that produce the result as 96 when two numbers are multiplied together. Consider an example, the factor pair of 43 is written as (1,43) and (-1,-43). When we multiply the pair of negative factors, the result should give the original number, such as multiplying -1 × -43, then we get the number 43. Thus, we can consider both positive and negative factor pairs of 43. Factor pairs of the number 96 are the whole numbers which could be either positive or negative but not a fraction or decimal number. To find the factors of a number, 96, we will use the factorization method.

In the factorization method, first take the numbers, 1 and 96 as factors, and continue with finding the other pair of multiples of 96 which gives the results as an original number. To understand this method in a better way, read the article below to find the factor 96 in pairs. Also, the prime factors of 96 with the help of the division method is discussed here

Pair Factors of 96

To find the positive and negative factor pairs of 96, multiply the two numbers in a pair to get the original number as 96, such numbers are as follows

Positive Pair Factor Negative Pair Factor
1 × 96 = 96   ⇒ (1, 96) -1 × -96 = 96   ⇒ (-1, -96)
2 × 48 = 96   ⇒ (2, 48) -2 × -48 = 96   ⇒ (-2, -48)
3 × 32 = 96  ⇒ (3, 32) -3 × -32 = 96  ⇒ (-3, -32)
4 × 24 = 96  ⇒ (4, 24) -4 × -24 = 96  ⇒ (-4, -24)
6 × 16 = 96  ⇒ (6, 16) -6 × -16 = 96  ⇒ (-6, -16)
8 × 12 = 96  ⇒ (8, 12) -8 × -12 = 96  ⇒ (-8, -12)

How to calculate the Factors of 96?

Learn the following steps to calculate the factors of a number 96.

    • First, write the number 96
    • Find the two numbers, which gives the result as 96 under the multiplication, say 3 and 32, such as 3 × 32 = 96.
    • We know that 3 is a prime number that has only two factors, i.e., 1 and the number itself( 1 and 3). So, it cannot be further factorized. It can be written as

3 = 1 × 3

    • Since the number 32 is a composite number and it can be factorized as

32 = 2 x 2 x 2 x 2 x 2 x1

  • Therefore, the factorization of 96 is written as 96 = 3 x 2 x 2 x 2 x 2 x 2 x 1
  • Finally, write down all the unique numbers that can be obtained as factors
Factors of 96
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96

Prime Factors of 96 By Division Method

The number 96 is a composite and it should have prime factors. Now let us know how to calculate the the prime factors.

    • The first step is to divide the number 96 with the smallest prime factor, say 2.

96 ÷ 2 = 48

    • Again divide 48 by 2

48 ÷ 2 = 24

24 ÷ 2 = 12

12 ÷ 2 = 6

6 ÷ 2 = 3

    • Now if you divide 3 by 2, you will get a fractional number and it should not be a factor of a number. So proceed with the next prime factor, say 3.

3 ÷ 3 = 1

Finally, you received the number 1 at the end of the division process. So that we cannot proceed further. So, the prime factors of 96 are written as 2 x 2 x 2 x 2 x 2 x 3 or 3 x 25, where 2 and 3 are the prime numbers.

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