UPSC CAPF Assistant Commandant Model Paper 7

Given:
Given number is 4000
Formula:
If X=pa×qb, then number of factors = (a + 1)(b + 1)
Calculation:
4000 = 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 = 25×53
Numbers of factors in 4000
⇒ (5 + 1) (3 + 1)
⇒ 6 × 4
⇒ 24