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Question

Question: Number of proper factors of 2400 is equal to...

Number of proper factors of 2400 is equal to

A

35

B

36

C

37

D

34

Answer

34

Explanation

Solution

2400 = 25 x 52 x 3

Number of proper factors =(5+1) (2+1) (1+1) – 1 – 1 = 34

(2 can be selected in (5+1) ways, etc).