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Aptitude · Q36

Number System

Competitive Exams · Aptitude · question 36

Q36

Find the number of divisors of 1420.

A.
14
B.
15
C.
13
D.
12
Answer
E.
None of these

Answer: Option D

Solution

Answer: Option D
Solution:
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