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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 :
345
315
55
 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
/  \
315
/  \
35








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