Factors of 18

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.

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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

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