1.

Find the total number of factors of '900'.1. 82. 273. 184. 6

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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