Question

Find the total number of factors of the number 480.
1. 12
2. 24
3. 48
4. 36

Answer 1

Correct Answer - Option 2 : 24

Given:

The number is 480.

Formula Used:

If Prime Factorisation of a number N = a^p × b^q × c^r × ......

Then, Total number of factors of N = (p + 1) × (q + 1) × (r + 1) × ......

Calculation:

Here,

Prime Factorisation of 480 = 2⁵ × 3¹ × 5¹

So, Total number of factors = (5 + 1) × (1 + 1) × (1 + 1)

⇒ 6 × 2 × 2

⇒ 24

∴ The total number of factors of 480 is 24.