# 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

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• 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

### What are the Factor pairs of 16?

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

### What are the prime factors of 16?

Therefore, 2 are the prime factors of 16.

### What are the All factors of 16?

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