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smallest possible integer n

Expert replies
Source: — Problem Solving |

by Morgoth » Sun Oct 05, 2008 9:36 am
you just need to find the factors of 6 in 324

324 = 3*3*2*2*3*3 = 6*6*9

we can have two sixes here. Therefore the answer is 2.

Hope this helps.
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by krazy800 » Sun Oct 05, 2008 10:12 am
Morgot

how can 324 be a factor of 6^2 (or 36)? please explain...
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by krazy800 » Sun Oct 05, 2008 10:20 am
I think the answer should be 4

because 324 = (2^2) * (3^4)

6^n can be written as (2^n)*(3^n)

for 324 to be a factor of 6^n... n=4 would be apt..

Plz lemme know your thoughts
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by codesnooker » Sun Oct 05, 2008 10:24 am
n = 4, is the correct answer.
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by Morgoth » Sun Oct 05, 2008 10:49 am
You guys are absolutely correct. I went a little too fast on this one. Thanks for correcting me. Answer is indeed 4.
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