Factoring Practice

Level 2

What is the largest integer in the prime factorization of 159999 159999 ?


The answer is 401.

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1 solution

Aidan Poor
Oct 28, 2018

159999 = 160000 1 = 2 0 4 1 = ( 20 + 1 ) ( 20 1 ) ( 2 0 2 + 1 ) = 3 7 19 401 \begin{aligned}159999 = 160000-1=20^{4}-1=(20+1)(20-1)(20^{2}+1)=3*7*19*\boxed{401}\end{aligned}

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