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Using prime factorisation, find the following is a perfect square : 841

Solution:

Given, the number is 841.

We have to determine if 841 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 : 841

So, 841 = 29 × 29

We observe that the prime factor 29 occurs in pairs.

Square of 29 is 841.

Therefore, 841 is a perfect square.

✦ Try This: Using prime factorisation, find the following is a perfect square : 1331

☛ Also Check: NCERT Solutions for Class 8 Maths

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

Summary:

By checking 841 using prime factorisation, it is clear that 841 is a perfect square.

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