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My question regarding Prime Factorization is that, how important is it. And what is the best possible way to find prime factors, and where is it required, ive been doing the MGMAT Book 1, Number properties and have found out about the prime factor box and the factorization column. The prime factor box is useful when ?

As Entwistle has mentioned, prime factorization is very important. GMAT tests quite a bunch of Questions in the Ps as well as DS part. The MGMAT book uses this method to help find prime factors. As simple as that . In addition, prime factors are usful to check for divisibilty, factors etc.

If you don't understand the Prime Factor box, you should try finding your own way to locate prime factors of a number!

My question regarding Prime Factorization is that, how important is it. And what is the best possible way to find prime factors, and where is it required, ive been doing the MGMAT Book 1, Number properties and have found out about the prime factor box and the factorization column. The prime factor box is useful when ?

As to the best possible way, everyone has his/her own.. But let me share a quick one - Break down the number into smaller and smaller parts till you reach the prime factors e.g. 450 (the first number that came to mind) = 45*10 (always easy when numbers end in 0s) \(= 5*9 * 2*5 = 2*3^2*5^2\)

126 = 6*21 (it struck me first... you can do 2*63 if that strikes you first) =\(2*3 * 3*7 = 2*3^2*7\)

So just split the number into small parts... whatever comes to mind first... you will quickly reach the prime factors...
_________________

My question regarding Prime Factorization is that, how important is it. And what is the best possible way to find prime factors, and where is it required, ive been doing the MGMAT Book 1, Number properties and have found out about the prime factor box and the factorization column. The prime factor box is useful when ?

As to the best possible way, everyone has his/her own.. But let me share a quick one - Break down the number into smaller and smaller parts till you reach the prime factors e.g. 450 (the first number that came to mind) = 45*10 (always easy when numbers end in 0s) \(= 5*9 * 2*5 = 2*3^2*5^2\)

126 = 6*21 (it struck me first... you can do 2*63 if that strikes you first) =\(2*3 * 3*7 = 2*3^2*7\)

So just split the number into small parts... whatever comes to mind first... you will quickly reach the prime factors...

Thank you karishma its really a great technique.

gmatclubot

Re: Prime Factorization
[#permalink]
15 Mar 2011, 07:54

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