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Problem: factors 45 [ Calculator, Method and examples ]

Solution:
Your problem -> factors 45

1. All factors :
Method-1 :
 45 ÷ 1 = 45, 1 and 45 are factors of 45 45 ÷ 3 = 15, 3 and 15 are factors of 45 45 ÷ 5 = 9, 5 and 9 are factors of 45 45 ÷ 9 = 5, 9 and 5 are factors of 45

Stop here, since 9 and 5 are already factors of 45

So, all factors of 45 are
1, 3, 5, 9, 15, 45

Method-2 :
Step-1:
1 xx 45 = 45, so take 1 and 45

All factors = 1, ... ,45

Step-2:
3 xx 15 = 45, so take 3 and 15

All factors = 1,3, ... ,15,45

Step-3:
5 xx 9 = 45, so take 5 and 9

All factors = 1,3,5, ... ,9,15,45

Step-4:
9 xx 5 = 45

Since 9 and 5 are already factors of 45, and there is no any number between 5 and 9, which divides 45, so we stop here

So, all factors of 45 are
1, 3, 5, 9, 15, 45

2. Prime factors :
Method-1 :
 3 45 3 15 5 5 1

:. 45 = 3 × 3 × 5

Method-2 : Prime factors in exponential form
Also, 45 = 3 × 3 × 5 can also be written as 45 = 3^2 xx 5 (using exponents)

Method-3 :

45
= 3 × 15
= 3 × 3 × 5

Method-4 : Prime factorization tree

 45 /  \ 3 15 /  \ 3 5

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