Find the number of factors of 3150.

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Question

Find the number of factors of 3150.

Options:

A . 36

B . 52

C . 26

D . None of these

Answer: Option A
:
A

3150 can be prime factorized as follows:
$3150 = 5^{2} \times 2 \times 7 \times 3^{2}$

Number of factors = $(2 + 1) (1 + 1) (1 + 1) (2 + 1) = 3 \times 2 \times 2 \times 3 = 36$ .

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