Factors of 25

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