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What is the greatest value of m such that 4^m is a factor of

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Joined: 27 Jul 2017
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Re: What is the greatest value of m such that 4^m is a factor of [#permalink]

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03 Apr 2018, 08:43

4 has prime factorization = 2*2. Therefore 4 has a power of 2 in 4.
By following trailing zero concepts, we deduce that 2 has a total power of 26 in 30!. Therefore the total power of 4 in 30! equals 26 divided by 2 i.e. 13.
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Re: What is the greatest value of m such that 4^m is a factor of   [#permalink] 03 Apr 2018, 08:43
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