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How many positive perfect cube factors does 3^6*5^{10}*7^8 have?

 Apr 25, 2022
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41040428994140625== 3^6 * 5^10 * 7^8

 

 

Perfect cube factors==[6/3 + 1] * [10/3 + 1] * [8/3 + 1]==3 x 4 x 3 ==36

 Apr 25, 2022

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