Factors of 32

The factors of 32 are the numbers, that produce the result as 32 when two numbers are multiplied together. Factor pairs of the number 32 are the whole numbers which could be either positive or negative but not a fraction or decimal number. We will use the factorization method to find the factors of a number, 32.

Factors of 32

In the factorization method, first take the numbers, 1 and 32 as factors and proceed with finding the other pair of multiples of 32 which gives the results as an original number. To understand this method in a better way, read the article below to find factor 32 in pairs and also the division method to find the prime factors is also discussed here.

Pair Factors of 32

To find the factor pairs of 32, multiply the two numbers in a pair to get the original number as 32, such numbers are as follows

Positive Pair Factors Negative Pair Factors
1 × 32 = 32 ⇒ (1, 32) -1 × -32 = 32 ⇒ (-1, -32)
2 × 16 = 32 ⇒ (2, 16) -2 × -16 = 32 ⇒ (-2, -16)
4 × 8 = 32 ⇒ (4, 8) -4 × -8 = 32 ⇒ (-4, -8)

How to calculate the Factors of 32?

Learn the following steps to calculate the factors of 32.

    • First, write the number 32
    • Find the two numbers, which gives the result as 32 under the multiplication, say 2 and 16, such as 2 × 16 = 32.
    • We know that 2 and is a prime number which has only two factors, i.e., 1 and the number itself( 1 and 2) which cannot be further factorized.

2 = 2 × 1

    • But look at the number 16, which is a composite number but not a prime number and it can be further factorized.

16 can be factorised as 2 x 2 x 2 x 2 x 1

  • Therefore, the factorization of 32 is written as, 32 = 2 × 2 × 2 x 2 x 1
  • Finally, write down all the unique numbers which we can obtain from 2 x 2 x 2 × 2 × 2 x 1
Factors of 32
1, 2, 4, 8, 16 and 32

Prime Factors of 32 By Division Method

The number 32 is a composite and it should have prime factors. Now let us know how to calculate the prime factors of 32.

Step 1: The first step is to divide the number 32 with the smallest prime factor, say 2.

32 ÷ 2 = 16

Step 2: Again divide 16 by 2 and the process goes on.

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

2 ÷ 2 = 1

Finally, we received the number 1 at the end of the division process. So that we cannot proceed further. So, the prime factors of 32 are written as 2 × 2 x 2 x 2 x 2 or 25, where 2 is a prime numbers.

It is possible to find the exact number of factors of a number with the help of prime factorisation. The prime factor of the 32 is 25. The exponent in the prime factorisation is 5. When you add the number 1 with the exponent, we get 6. i.e.,5 +1 = 6. Therefore, the number 32 has 6 factors.

Stay tuned with BYJU’S to know about factor 32 and the factors and prime factors of other numbers. Download BYJU’S – The Learning App for better experience and clarification and also watch interactive videos.

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