Answer (Detailed Solution Below)

Option 2 : 30
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Detailed Solution

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Concept Used:

If N = ap × bq × cr...

Then number of factors = (p + 1)(q + 1)(r + 1).....

Calculation:

According to the question,

First prime factorise number 720,

720 = 24 × 32 × 51

On comparing, with concept,

p = 4, q = 2 and r = 1

No. of factors = (4 + 1)(2 + 1)(1 + 1)

⇒ 5 × 3 × 2 = 30

∴ The number of factors of 720 is 30.

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