Factors of 18 are those numbers that, when multiplied together, give the result of 18. 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 18.

## Contents

**Factors Calculator**

**Factors of 18 Details**

- Factors of 18: 1, 2, 3, 6, 9 and 18
- Factors of -18: -1, -2, -3, -6, -9 and -18
- Prime Factors of 18: 2, 3
- Prime Factorization of 18: 2 × 3 × 3 = 2 × 32
- Factors of 18 in Pairs: (1, 18), (2, 9), and (3, 6)

**What are the factors of 18?**

The method of calculating the factors of 18 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 18 are the factors of 18.

By dividing a number by 1, 2, 3, 4… we can discover all its factors.

(i) 18 ÷ 1 = 18

This division gives the remainder 0 and so is divisible by 18. So please put them 1 and 18 in your factor list.

1, …….. 18

(ii) 18 ÷ 2 = 9

This division gives the remainder 0 and so is divisible by 9. So please put them 2 and 8 in your factor list.

1, 2 ……..9, 18

(iii) 18 ÷ 3 = 6

This division gives the remainder 0 and so is divisible by 6. So please put them 2 and 8 in your factor list.

1, 2, 3 …….. 6, 9, 18

(iv) 18 ÷ 4 = 4.5

This division gives the remainder 4.5, not being thoroughly divided. So we will not write 4 and 4.5 on the list.

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

So 1, 2, 3, 6, 9 and 18 are factors of 18.

**Factors of -18**

To get the factors of -18 by the multiplication method, we will first write the number -18 multiplicatively in all possible ways. We can write -18 as follows and we have:

18 = -1 × -18 Therefore, -1, -18 are factors of -18

18 = -2 × -9 Therefore, -2, -9 are factors of -18

18 = -3 × -6 Therefore, -3, -6 are factors of -18

As there are no other ways we can express -18 multiplicative, we will stop now, and we have obtained all the factors of -18.

So, the factors of -18 are -1, -2, -4, -8 and -18.

**All of the factors of 18**

Here is a list of all the positive and negative factors of 18 in numerical order.

1, 2, 3, 6, 9, 18, -1, -2, -4, -8 and -18

Therefore, 1, 2, 3, 6, 9, 18, -1, -2, -4, -8 and -18 are All factors of 18.

**Factor pairs of 18**

18 x 1 = 18

2 x 9 = 18

3 x 6 = 18

So, (1, 18), (2, 9), and (3, 6) are factor pairs of 18

**Prime Factorization of 18**

18 ÷ 2 = 9

9 ÷ 3 = 3

3 ÷ 3 = 1

Therefore, 2 × 3 × 3 is the Prime factorization of 18.

**Factor tree of 18**

```
18
/ \
2 9
/ \
3 3
```

**FAQs** **on Factors of 18**

### What is the prime factorization of 18?

Therefore, 2 × 3 × 3 is the Prime factorization of 18.

### What is the prime factors of 18?

The prime factors of 18 are 2, 3

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