Factoring frenzy

Computer Science Level 3

Please enter the number of distinct factors of 510510 2 { 510510 }^{ 2 } .

Might be interesting; definitely not beautiful


The answer is 2187.

Bill Bell by Bill Bell , 74, Canada

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2 solutions

Masbahul Islam
Jan 3, 2016

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Bill Bell
Jun 12, 2015

factorint calculates the prime factor decomposition of a number as a Python dictionary.

In this instance reduce is used with a lambda function to multiply the exponents in the decomposition, each increased by one, together.

PLEASE NOTE: This is an updated solution. Mr Pi Han Goh noticed that my first offering was wrong.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Are you sure about your answer? Using simple factorization, and by applying this formula , we get 2187 as the answer.

Pi Han Goh - 6 years ago

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Thank you! I believe you're right. I confused this with another problem I puzzled over for days.

Bill Bell - 6 years ago

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Thanks, I've changed the answer to 2187.

Brilliant Mathematics Staff - 6 years ago

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@Brilliant Mathematics – Thank you. Is there no way for one of us ordinary people to change answers?

Bill Bell - 6 years ago

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