Find the number of divisors of 1420.

A. 14

B. 15

C. 13

D. 12

E. None of these

Answer: Option D

Solution(By Examveda Team)

1420 = 2 × 2 × 5 × 71 = (2⁰ + 2¹ + 2²) × (5⁰ + 5¹) × (71⁰ + 71¹)
Here, we count the number of terms in the expansion.
In the above expansion,
1420 contains number of terms = 3 × 2 × 2 = 12
Then, the number of factors or divisors = 12