prime factors 45

Solution

Problem: prime factors 45 [ Calculator, Method and examples ]

Solution:
Your problem `->` prime 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 xx 3 xx 5`

Method-2 : Prime factors in exponential form
Also, `45=3 xx 3 xx 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

Solution provided by AtoZmath.com

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