 # Factors Of 25

Factors of 25 are the numbers, which gives the result as 25 when multiplied together in pair of two. When we divide a number by one of its factors, then the resultant quotient is a whole number.

• Factors of 25: 1, 5, and 25
• Prime factorisation of 25: 52

25 is a composite number, and by the definition of composite we know, it has more than 2 factors. Similarly, some of the examples are factors of 24, 12, 18, 16, 8 and 35.  To find the factors of a number, i.e. 25 in this case, we will use the multiplication method.

Multiples of 25 are different numbers such as, 50, 75, 100, 125, 150, 175, 200, and so on, which are the extended times of 25.

## Factors Of 25 in Pairs

We can find the factors in pairs, by multiplying two numbers in a pair to get the original number, such as;

1 × 25 = 25

5 × 5 = 25

Therefore,

 Factors Of 25 1, 5 and 25

### Prime Factorisation of 25

The number 25 is a composite number. Now let us find the prime factors of 25.

• The first step is to divide the number 25 with the smallest prime factor,i.e. 2

25 ÷ 2 = 12.5

Therefore, 2 cannot be a prime factor of 25.

• Now, proceed to the next prime numbers, i.e. 3

25 ÷ 3 = 8.33

Therefore, 3 cannot be a prime factor of 25.

• Again, moving to the next prime number, 5 and continue dividing till you get fraction or 1 as the output.

25 ÷ 5 = 5

5 ÷ 5 = 1

• We have received 1 at the end in the division process and further, we cannot proceed. So, the prime factors of 25 are 5 × 5 or 52, where 5 is a prime number.

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