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Using prime factorisation, find the following is a perfect square : 729

Solution:

Given, the number is 729.

We have to determine if 729 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 : 729

So, 729 = 3 × 3 × 3 × 3 × 3 × 3

We observe that the prime factor 3 occurs in pairs.

Square of 27 is 729.

Therefore, 729 is a perfect square.

✦ Try This: Using prime factorisation, find the following is a perfect square : 625

☛ Also Check: NCERT Solutions for Class 8 Maths

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

Summary:

By checking 729 using prime factorisation, it is clear that 729 is a perfect square.

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