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Find the number of factors of 240.
1. 20
2. 21
3. 22
4. 23

1 Answer

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Best answer
Correct Answer - Option 1 : 20

Given:

Factor of = 240

Formula used:

N = (a + 1) (b + 1) (c +1) where X, Y and Z are the prime numbers and a, b and c are their respective powers

Calculations:

⇒ 240 = 24 × 31 × 51

⇒ Number of factors = (4 + 1) (1 + 1) (1 + )

⇒ Number of factors = 5 × 2 × 2

⇒ Number of factors = 20

∴  Number of factors is 20.

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