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Formula for divisors

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Senior Manager
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Joined: 05 Oct 2008
Posts: 270

Kudos [?]: 538 [0], given: 22

Formula for divisors [#permalink]

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New post 16 May 2010, 01:56
I got the following from m01. Can someone explain how 2*3*2 is derived?
Thanks.

The following formula can be used to find the number of divisors of any given number. Factor 90 ( \(90= 2*3^2*5\) ) and then multiply the powers+1 \(2*3*2=12\) . Therefore, divisors of 90 = 12

Kudos [?]: 538 [0], given: 22

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Senior Manager
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Joined: 15 Nov 2006
Posts: 320

Kudos [?]: 874 [1], given: 28

Re: Formula for divisors [#permalink]

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New post 16 May 2010, 02:25
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ok this is how i see it

power of 2 = 1 --> we add +1 to it --> 2
power of 3 = 2 --> we add +1 to it --> 3
power of 5 = 1 --> we add +1 to it --> 2

So we multiply all of them --> 2.3.2 = 12

And this gives us the number of factors of of 90 :)

Kudos [?]: 874 [1], given: 28

Re: Formula for divisors   [#permalink] 16 May 2010, 02:25
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Formula for divisors

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