 # Factors Of 45

Factors of 45 are the numbers, which divide the original number completely or uniformly. The numbers which give the result as 45 when multiplied together in pairs are the pair factors. If we divide 84 with any of its factors, then the resulted quotient will be a whole number. 45, 36, 18, 60, 42, 30, 90, etc. are the composite numbers, which have more than 2 factors, unlike prime numbers.  To find the factors of number and prime factors we can use simple multiplication method and division method.

## Factors of 45 in Pair

We can find the pair factors of number 45, by multiplying two numbers in a pair to get the original number as 45, such as;

1 × 45 = 45

3 × 15 = 45

5 × 9 = 45

Therefore, the pair factors are (1, 45), (3, 15) and (5, 9).

 Factors Of 45 1, 3, 5, 9, 15 and 45

### Prime Factorisation of 45

The number 45 is a composite number. Now let us take out prime factorisation of 45.

• The first step is to divide the number 45 with the smallest prime factor, i.e. 2.

45 ÷ 2 = 22.5; factor cannot be a fraction.

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

45 ÷ 3 = 15

15 ÷ 3 = 5

• Again, if we divide 5 by 3, we get a fraction number, which is not a factor.
• Therefore, we will move to the next prime number, which is 5.

5 ÷ 5 = 1

• We have received 1 at the end and further, we cannot proceed with the division method, as ‘1’ doesn’t have any multiples. So, the prime factorisation of 45 is 3 × 3 × 5 or 32 × 5, where 3 and 5 are the prime numbers.

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