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, we get 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 and learn how to find the pair factors of 16. Also, finding the prime factors of 16 with the help of the division method is discussed here.

How to calculate the Factors of 16?

Go through 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 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.
  • Look at the number 8, which is a composite number but not a prime number. So it can be further factorized.
  • 8 can be factored 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 must 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 number, 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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Frequently Asked Questions on Factors of 16 – FAQs

What are the multiple of 16?

The list of multiples of 16 is given by:
16, 32, 48, 64, 80, 96, 112, 128, 144, 160, etc.

Are all factors of 16 even?

Except 1, all other factors of 16 are even numbers. Thus, the factors of 16 are 1, 2, 4, 8, 16.

What are the prime factors for 16?

The prime factors of 16 as a product can be written as 2 × 2 × 2 x 2 or 2^4, where 2 is the prime number.

What are the common factors of 12 and 16?

The common factors of 1, 2, 4 since the factors of 12 are 1, 2, 3, 4, 6, and 12, whereas the factors of 16 are 1, 2, 4, 8, and 16.

Is 16 a composite number?

Yes, 16 is a composite number since 16 has more than two factors.

Quiz on Factors of 16

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