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How many factors of 105488578125 are odd numbers?

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How many factors of 105488578125 are odd numbers?
posted Sep 4 by Yogeshwar Thakur

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1 Answer

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Prime factors of 105488578125 are
3^9 x 5^6 x 7^3.
Since there are no powers of 2 here all the factors of this number will be odd.
The number of factors is given by the product of the highest exponent of each prime factors + 1.
In this case (9 + 1)×(6 + 1)×(3 + 1) = 280.

answer Sep 4 by Tejas Naik
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