Using the prime factorisation method, find the following numbers … - Vidyadip

Question

Using the prime factorisation method, find the following numbers are perfect squares:
1176

✓

Answer

A perfect square can always be expressed as a product of equal factors.

Resolving into prime factors:

1176

= 7 × 168

= 7 × 21 × 8

= 7 × 7 × 3 × 2 × 2 × 2

1176 cannot be expressed as a product of two equal numbers.

Thus, 1176 is not a perfect square.

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