The total number of divisors of 10500 except 1 and it.

Options

A. 48
B. 50
C. 46
D. 56

Answer

A

Explanation

`10500 = 2xx2xx3xx5xx5xx5xx7 `
`10500 = 2^2xx3^1xx5^3xx7^1`
`therefore` Total number of divisors of 10500 is (2+1)(1+1)(3+1)(1+1) = 48
Bt we have to exclude 1 and 10500
So there are only 48-2=46 factors of 10500 except 1 and 10500