Factors of 25 are those numbers that, when multiplied together, give the result of 25. 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 25.

**Factors Calculator**

Factors of 25: 1, 5 and 25

Factors of -25: -1, -5 and -25

Prime Factors of 25: 5

Prime Factorization of 25: 5 × 5

Factors of 25 in Pairs: (1, 25) and (5, 5)

## What are the factors of 25?

The method of calculating the factors of 25 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 25 are the factors of 25.

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

(i) 25 ÷ 1 = 25

This division gives the remainder 0 and so is divisible by 25. So please put them 1 and 25 in your factor list.

1, …….. 25

(ii) 25 ÷ 2 = 12.5

This division gives the remainder 12.5, not being thoroughly divided. So we will not write 2 and 12.5 on the list.

(iii) 25 ÷ 3 = 8.33

This division gives the remainder 8.33, not being thoroughly divided. So we will not write 3 and 8.33 on the list.

(iv) 25 ÷ 4 = 6.25

This division gives the remainder 6.25, not being thoroughly divided. So we will not write 3 and 6.25 on the list.

(v) 25 ÷ 5 = 5

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

1, 5… 25

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

So 1, 5 and 25 are factors of 25.

## Factors of -25

To get the factors of -25 by the multiplication method, we will first write the number -25 multiplicatively in all possible ways. We can write -25 as follows and we have:

25 = -1 × -25 Therefor, -1, -25 are factors of -25

25 = -5 × -5 Therefor, -5, -5 are factors of -25

As there are no other ways we can express -25 multiplicative, we will stop now, and we have obtained all the factors of -25.

So, the factors of -25 are -1, -5 and -25.

## All factors of 25

Here is a list of all the positive and negative factors of 25 in numerical order.

1, 5 25, -1, -5 and -25

Therefore, 1, 5 25, -1, -5 and -25 are All factors of 25.

## Factor pairs of 25

1 x 25 = 25

5 x 5 = 25

So, (1, 25) and (5, 5) are factor pairs of 25

## Prime Factorization of 25

25 ÷ 5 = 5

5 ÷ 5 = 1

Therefore, 5 x 5 are Prime factorization of 25.

## Factor tree of 25

```
25
/ \
5 5
```