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Re: What is the maximum value of m such that 7^m divides into 14 [#permalink]
1
wording for a question can be tricky. The question is asking how many times 7 can be raised within 14!.

GRE does not throw lengthy problems that takes up lots of time in solving. If your reasoning involves lots of computations probably you need to look at the problem from a different angle. In fact the use of calculator is to make sure that test is focused on testing concepts over tedious working on part of test-takers.
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Re: What is the maximum value of m such that 7^m divides into 14 [#permalink]
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Carcass wrote:
What is the maximum value of m such that \(7^m\) divides into \(14!\) evenly?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5


This question needs some kind of information that restricts the value of m to integer values only.
Otherwise, there exists a non-integer value of m such that 7^m = 14!
To be more precise, 7^(12.946) ≈ 14!, which means 7^(12.946) is definitely a divisor of 14!

Cheers,
Brent
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Re: What is the maximum value of m such that 7^m divides into 14 [#permalink]
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amorphous wrote:
wording for a question can be tricky. The question is asking how many times 7 can be raised within 14!.

GRE does not throw lengthy problems that takes up lots of time in solving. If your reasoning involves lots of computations probably you need to look at the problem from a different angle. In fact the use of calculator is to make sure that test is focused on testing concepts over tedious working on part of test-takers.


I tend to focus more on calculations rather than concepts, before your comment I used to think the more faster and efficiently I can calculate the better it is. since it is maths ,calculation will be an important part of it but the reason you gave about the calculator used in the TEST is really insightful.

test is testing our concepts hmm :)

Thank you
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Re: What is the maximum value of m such that 7^m divides into 14 [#permalink]
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Re: What is the maximum value of m such that 7^m divides into 14 [#permalink]
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