Q5 of 52 Page 317

Write the number of factors of the following?

105

105

Prime factors of 105 are = 3 × 7 × 5


= 51 × 31 × 71


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


⇒ (1 + 1)(1 + 1)(1 + 1)


= 2 × 2 × 2 = 8


Hence, number of factors for 105 is 8


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