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Question: The no. of ways can 900 be resolved into two +ve integral factors is...

The no. of ways can 900 be resolved into two +ve integral factors is

A

27

B

13

C

14

D

15

Answer

14

Explanation

Solution

900 = 22 x 32 x 52

Total no. of divisors = (2 + 1) (2 + 1) (2 + 1) = 27.

Total no. of factors = 262\frac{26}{2} + 1 = 13 + 1 = 14.