# Factors of 12

Factors of 12 are those numbers that, when multiplied together, give the result of 12. 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 12.

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## What are the factors of 12?

The method of calculating the factors of 12 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 12 are the factors of 12.
By dividing a number by 1, 2, 3, 4… we can discover all its factors.

(i) 12 ÷ 1 = 12, So put them in your factor list.

1 …….. 12

(ii) 12 ÷ 2 = 6, gives remainder 0 and so are divisible by 6. So please put them 2 and 6 in your factor list.

1, 2 ……..6, 12

(iii) 12 ÷ 3 = 4, gives remainder 0 and so are divisible by 4. So please put them 3 and 4 in your factor list.

1, 2, 3 ……..4, 6, 12

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

So 1, 2, 3, 4, 6 and 12 are factors of 12.

## Factors of (- 12)

As – 2 and – 5 are negative factors because you get a positive number by multiplying two negatives, like (- 2) × (- 6) = 12.

Therefore, -1, -2, -3, -4, -6 and -12 are Nagetive factors of 12.

## All factors of 12

Here is a list of all the positive and negative factors of 12 in numerical order.

1, 2, 3, 4, 6, 12, -1, -2, -3, -4, -6, -12

Therefore, 1, 2, 3, 4, 6, 12, -1, -2, -3, -4, -6 and – 12 are All factors of 12.

## Factor pairs of 12

1 x 12 = 12
2 x 6 = 12
3 x 4 = 12

So, (1, 12), (2, 6) and (3, 4) are factor pairs of 12

## Prime Factors of 12

12 ÷ 2 = 6
6 ÷ 2 = 3
3 ÷ 3 = 1

Therefore, 2 × 2 × 3 is the Prime factorization of 12.

## Factor tree of 12

``````
12
/   \
2     6
/  \
2    3
``````

## FAQ

### What are the Factors of 12?

The factors of 12 are 1, 2, 3, 4, 6, 12 and its negative factors are -1, -2, -3, -4, -6, -12.

### What are the Prime Factors of 12?

Therefore, 2 × 2 × 3 is the Prime factorization of 12.

### What are the factor pairs of 12?

Answer: (1, 12), (2, 6) and (3, 4)