Math miscellaneousHard

Question

The total number of divisors of 10100 which are divisible by 1090 is :-

Options

A.110
B.121
C.120
D.100

Solution

10100 = 2100, 5100
For divisor which are divisibly by 1090 = 290,
590 atleast 90 two′s and 90 five′s are to be compulsory.
So 210, 510
(10 + 1) (10 + 1) = 121

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