Question

Find the total number of factors of '900'.
1. 8
2. 27
3. 18
4. 6

Answer 1

Correct Answer - Option 2 : 27

Given:

Number is 900

Concept used:

First factorise the given number into its prime factors.

N = 2^a × 3^b × 5^c

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.