Find the number of factors of 3150. Options: A . &nbsp36 B . &nbsp52 C . &nbsp26 D . &nbspNone of these

Answer: Option A : A 3150 can be prime factorized as follows: 3150 = 5 2 × 2 × 7 × 3 2 Number of factors = ( 2 + 1 ) ( 1 + 1 ) ( 1 + 1 ) ( 2 + 1 ) = 3 × 2 × 2 × 3 = 36 .

Find the number of factors of 3150.

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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