Factors of 16

Factors of 16 are those numbers that, when multiplied together, give the result of 16. We can also say that a factor is a number that divides a number ultimately, leaving zero as a remainder. We will use the multiplication method to find the factors of 16.

Factors Calculator

• Factors of 16: 1, 2, 4, 8 and 16
• Negative Factors of 16: -1, -2, -4, -8 and -16
• Prime Factors of 16: 2
• Prime Factorization of 16: 2 × 2 × 2 × 2
• Factors of 16 in Pairs: (1, 16), (2, 8), and (4, 4)

What are the factors of 16?

The method of calculating the factors of 16 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 16 are the factors of 16.
By dividing a number by 1, 2, 3, 4… we can discover all its factors.

(i) 16 ÷ 1 = 16

This division gives the remainder 0 and so is divisible by 16. So please put them 1 and 16 in your factor list.

1, …….. 16

(ii) 16 ÷ 2 = 8

This division gives the remainder 0 and so is divisible by 8. So please put them 2 and 8 in your factor list.

1, 2 …….. 8, 16

(iii) 16 ÷ 3 = 5.33

This division gives the remainder 5.33, not being thoroughly divided. So we will not write 3 and 5.33 on the list.

(iv) 16 ÷ 4 = 4

This division gives the remainder 0 and so is divisible by 4. So please put them 4 in your factor list.

1, 2, 4 …….. 8, 16

(vi) Since we don’t have any more numbers to calculate, we are putting the numbers so far.

So 1, 2, 4, 8 and 16 are factors of 16.

Factors of (- 16)

As – 2 and – 8 are negative factors because you get a positive number by multiplying two negatives, like (- 2) × (- 8) = 16.

Therefore, -1, -2, -4, -8 and -16 are Negative factors of 16.

All factors of 16

Here is a list of all the positive and negative factors of 16 in numerical order.

1, 2, 4, 8, 16, -1, -2, -4, -8 and -16

Therefore, 1, 2, 4, 8, 16, -1, -2, -4, -8 and -16 are All factors of 16.

Factor pairs of 16

16 x 1 = 16
2 x 8 = 16
4 x 4 = 16

So, (1, 16), (2, 8), and (4, 4) are factor pairs of 16

Prime Factors of 16

16 ÷ 2 = 8
8 ÷ 2 = 4
4 ÷ 2 = 2
2 ÷ 2 = 1

Therefore, 2 × 2 × 2 × 2 are Prime factorization of 16.

Factor tree of 16

         16
        /   \
      2     8
           /   \
         2     4 
             /   \
           2     2 

FAQs for Factors of 16