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Number Theory Level 2

How many unique pairs of natural numbers can be multiplied to get 160?

This question is taken from a math forum.


The answer is 12.

Mahtab Hossain by Mahtab Hossain , 28, Bangladesh

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1 solution

Siddharth Singh
Jun 19, 2015

We can just find the number of divisors of 160.

160 = 2 5 ∗ 5 1 160=2^{5}*5^{1}

number of divisors = ( 5 + 1 ) ∗ ( 1 + 1 ) = 12 (5+1)*(1+1)=12

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Use multiplication sign instead of addition sign !

Mahtab Hossain - 5 years, 11 months ago

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Thanks,I edited

Siddharth Singh - 5 years, 11 months ago

You should specify in your question that you're looking for pair of positive divisors.

Pi Han Goh - 5 years, 11 months ago

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