Factor of 10p GMAT Number Theory Tough Problem

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If p is a positive integer, what is total number of positive factors of 10p
(1) p has total of 3 positive factors
(2) The greatest common factor of 10 and p is 1

Source: GMAT Club - https://gmatclub.com/forum/if-p-is-a-positive-integer-what-is-total-number-of-positive-factors-312564.html

Topics:
#factors #numbertheory #gmatfactors #gmatnumbertheory #gmathcf #hcf

Difficulty:
#gmat700plus #gmat700

Other:
#gmatmathpractice #gmatquant #gmatmath #gmatexample

Chapters:
00:00 What is the total number of positive factors of 10p
00:18 How to calculate number of factors of a number
00:30 Formula to calculate the number of factors of a number
02:10 Square of prime number must have 3 factors
02:20 How to calculate number of factors of square of prime number

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