A day full of math games & activities. Find one near you.

Using prime factorisation, find the following is a perfect square : 484

Solution:

Given, the number is 484.

We have to determine if 484 is a perfect square using prime factorisation.

Prime factorization is a way of expressing a number as a product of its prime factors.

A prime number is a number that has exactly two factors, 1 and the number itself.

Using prime factorisation,

Using prime factorisation, find the following is a perfect square : 484

So, 484 = 2 × 2 × 11 × 11

= 22 × 22

We observe that the square of 22 is 484.

Therefore, 484 is a perfect square.

✦ Try This: Using prime factorisation, find the following is a perfect square : 169

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 91 (a)

Summary:

By checking 484 using prime factorisation, it is clear that 484 is a perfect square.

☛ Related Questions: