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Question

Find the number of factors of 3150.


A

36

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B

52

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C

26

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D

none of these

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Solution

The correct option is A

36


3150 can be prime factorized as follows:
3150=52×2×7×32

Number of factors = (2+1)(1+1)(1+1)(2+1)=3×2×2×3=36.


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