Odd Numbers 2

How many odd divisors does the number 5 78 × 12 8 97897890 5^{78} \times 128^{97897890} have?


The answer is 79.

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1 solution

Arulx Z
Jan 29, 2016

Any number of form k 2 n k \cdot 2^n , where n n , is a natural number, will be even. So we just need to find the number of factors of 5 78 5^{78} , which are simply 79 (Factors: 1 1 , 5 5 , 5 2 5^2 , 5 3 5^3 , ..., 5 78 5^{78} )

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