A problem by Chirantan Biswas

Level 1

How many factors does 3841992 have?

165 4 180 85

Chirantan Biswas by Chirantan Biswas , 20

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4 solutions

Edwin Gray
Mar 10, 2019

3841992 = (2^3) (3^4) (7^2) (11^2). So the number of factors = (3 + 1) (4 + 1) (2 + 1) (2 + 1) = 4 5 3 3 = 20 9 = 180

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Rajdeep Das
Sep 26, 2016

Actually the number of required factors should be 180-2=178. (As the question asks for factors excluding itself and 1)

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@Chirantan Biswas

rajdeep das - 4 years, 8 months ago
Shubham Ghosh
Jun 5, 2015

3841992=2x2x2x7x7x3x3x3x3x11x11=2cube x 7sq. x 3 4times x11sq. so no of factors=(3+1)x(2+1)x(4+1)x(2+1)=180

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Chirantan Biswas
Jun 4, 2015

3841992=23x34x72x112 Now add up the factors with 1 each and multiply them. If you have any doubt check yourself.

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majhe x lekh

Shubham Ghosh - 6 years ago

@Chirantan Biswas Pls use Latex as one may get confused after reading the solution.:D

rajdeep das - 4 years, 8 months ago

I have not previously seen the format used; i.e., 23 = 2^3, 34 = 3^4, 72 = 7^2, and 112 = 11^2.

Edwin Gray - 2 years, 3 months ago

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