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Find the total number of factors of '900'.1. 82. 273. 184. 6 |
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Answer» Correct Answer - Option 2 : 27 Given: Number is 900 Concept used: First factorise the given number into its prime factors. N = 2a × 3b × 5c Number of factors of ‘N’ = (a + 1) × (b + 1) × (c + 1) Calculation: After factorising, we can write ⇒ 900 = 22 × 32 × 52. ⇒ Number of factors of '900' = (2 + 1) × (2 + 1) × (2 + 1) ⇒ 27 ∴ The total number of factors of 900 is 27.
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