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Question

How to find number of divisors of a number.


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Solution

Compute required divisors.

Write the number in this form n=paqbrc.

n is the number p,q,r are prime numbers and a,b, and c are the powers.

The number of divisors =(a+1)(b+1)(c+1).

Example: 12=22×31

Number of divisors of 12

=(2+1)(1+1)=3×2=6

Therefore, this is the way to find the number of divisors of a number.


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