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Question

How to find out the number of factors ?

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Solution

8820=2×4410=2×2×2205=2×2×5×441=2×2×3×3×7×7×5=22×32×72×5

Number of factors =(p+1)(q+1)(r+1)(s+1) ; where p,q,r,s are the exponents of the prime factors of the number.
=(2+1)(2+1)(2+1)(1+1)=3×3×3×2=54.

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