Factors of 16

The factors of 16 are the numbers, that produce the result as 16 when two numbers are multiplied together. For example, the pair factors of 16 are written as (1,16) and (-1,-16). When we multiply the pair of negative factors, the result should give the original number, such as multiplying -1  × -16, then we get the number 16. To find the factors of a number, 16, we will use the factorization method.

To understand the factorisation method in a better way, read the article below to find the pair factors of 16. Also, the prime factors of 16 with the help of the division method is discussed here.

How to calculate the Factors of 16?

Learn the following steps to calculate the factors of 16.

  • First, write the number 16
  • Find the two numbers, which gives the result as 16 under the multiplication, say 2 and 8, such as 2 × 8 = 16.
  • We know that 2 and is a prime number which has only two factors, i.e., 1 and the number itself( 1 and 2). So, it cannot be further factorized.
  • 2 = 2 × 1
  • But look at the number 8, which is a composite number but not a prime number. So it can be further factorized.
  • 8 can be factorised as 2 x 2 x 2 x 1
  • Therefore, the factorization of 16 is written as, 16 = 2 × 2 × 2 × 2 x 1

Factors of 16

Factors of 16
1, 2, 4, 8, and 16

Pair Factors of 16

To find the pair factors of 16, multiply the two numbers in a pair to get the original number as 16, such numbers are as follows

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

Prime Factors of 16 By Division Method

The number 16 is a composite and it should have prime factors. Now let us know how to calculate the prime factors of 16.

    • The first step is to divide the number 16 with the smallest prime factor, say 2.
    • 16 ÷ 2 = 8
    • Again divide 8 by 2 and the process goes on.
    • 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 16 are written as 2 × 2 × 2 x 2 or 24, where 2 is a prime number.

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