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If 28^5/2^x is an integer, what is the greatest possible value of x?

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If 28^5/2^x is an integer, what is the greatest possible value of x? [#permalink] New post   24 Mar 2022, 10:27
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If x is an integer and \(\frac{28^5}{2^x}\) is an integer, what is the greatest possible value of x?


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If 28^5/2^x is an integer, what is the greatest possible value of x? [#permalink] New post   28 Mar 2022, 00:39
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Carcass wrote:
If x is an integer and \(\frac{28^5}{2^x}\) is an integer, what is the greatest possible value of x?


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\(28^5 = (2^2 . 7)^5 = (2^{10})(7^5)\)
The maximum value of x can be 10
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Re: If 28^5/2^x is an integer, what is the greatest possible value of x? [#permalink] New post   22 Aug 2023, 08:48
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If 28^5/2^x is an integer, what is the greatest possible value of x? [#permalink]
22 Aug 2023, 08:48
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