Q5 of 52 Page 317

Write the number of factors of the following?

90

90

Prime factors of 90 are = 3 × 3 × 2 × 5


= 51 × 32 × 21


⇒ Now, number of factors can be written as n + 1 form


⇒ (1 + 1)(2 + 1)(1 + 1) = 2 × 3 × 2 = 12


Hence, number of factors for 90 is 12


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