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How many factors of 997972488 are even numbers?

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How many factors of 997972488 are even numbers?
posted Mar 1 by Pushpak Chauhan

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1 Answer

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2^3 × 3^4 × 17^2 × 73^2 = 997972488
Even factors = total no: of factors - odd factors
= [(3 + 1) × (4 + 1) × (2 + 1) × (2 + 1)] - [ (4 + 1) × (2 + 1) × (2 + 1)]
= 180 - 45 = 135 even factors.

answer Mar 18 by Tejas Naik
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