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

### What are the **Factor pairs of 1**6?

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 1**6?

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

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