Smallest Number

Find the smallest number with 25 factors


The answer is 1296.

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1 solution

Mehul Chaturvedi
Dec 13, 2014

p 5 1 p^{5-1} . q 5 1 q^{5-1} = N =N Is that no. and To make N as small as possible, we have to choose the smallest available primes, 2 and 3. The answer is obviously p 4 p^{4} . q 4 q^{4} =1296

I don't understand this problem and your solution. Please explain it.

Shohag Hossen - 6 years ago

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