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The number of positive factors of 2520 excluding unity is:

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answer is D.

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Detailed Solution

Concept-To find the number of factors for a given number, express that number as the product of the powers of the prime numbers.
Prime factorization of 2520
Question Image

Factors are 2

\times

\times

\times

\times

\times

\times

\Rightarrow

\times

\times

\times

7
Hence, number of positive factors of 2520 excluding 1 are

= (3 + 1) (2 + 1) (1 + 1) (1 + 1) - 1 = 4 \times 3 \times 2 \times 2 - 1 = 47

Therefore,The total number of factors of 2520 is 47 .
Hence,the correct option is 4.

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