# Factors of 15

Factors of 15 are those numbers that, when multiplied together, give the result of 15. 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 15.

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## What are the factors of 15?

The method of calculating the factors of 15 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 15 are the factors of 15.
By dividing a number by 1, 2, 3, 4… we can discover all its factors.

(i) 15 ÷ 1 = 15

This division gives the remainder 0 and so is divisible by 15. So please put them 1 and 15 in your factor list.

1, …….. 15

(ii) 15 ÷ 2 = 7.5

This division gives the remainder 7.5, not being thoroughly divided. So we will not write 2 and 7.5 on the list.

(iii) 15 ÷ 3 = 5

This division gives the remainder 0 and so is divisible by 5. So please put them 3 and 5 in your factor list.

1, 3 ……..5, 15

(iv) 15 ÷ 4 = 3.75

This division gives the remainder 3.75, not being thoroughly divided. So we will not write 4 and 3.75 on the list.

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

So 1, 3, 5 and 15 are factors of 15.

## Factors of (- 15)

As – 3 and – 5 are negative factors because you get a positive number by multiplying two negatives, like (- 3) × (- 5) = 15.

Therefore, -1, -3, -5 and -15 are Negative factors of 15.

## All factors of 15

Here is a list of all the positive and negative factors of 15 in numerical order.

1, 3, 5, 15, -1, -3, -5, -15

Therefore, 1, 3, 5, 15, -1, -3, -5, and -15 are All factors of 15.

## Factor pairs of 15

1 x 15 = 15
3 x 5 = 15

So, ( 1, 15), and (3, 5) are factor pairs of 15

## Prime Factors of 15

15 ÷ 3 = 5
5 ÷ 5 = 1

Therefore, 3 × 5 is the Prime factorization of 15.

## Factor tree of 15

``````         15
/   \
3    5``````

## FAQs for Factors of 15

### What are the Factor pairs of 15?

Therefore, ( 1, 15), and (3, 5) are factor pairs of 15.

### What are the prime factors of 15?

Therefore, 3 and 5 are the prime factors of 15.

### What are the All factors of 15?

Therefore, 1, 3, 5, 15, -1, -3, -5, and -15 are All factors of 15.