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

Question

Using the prime factorisation method, find the following numbers are perfect squares:
$441$

✓

Answer

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

Resolving into prime factors:

$441$

$=19 \times 9$

$=7 \times 7 \times 3 \times 3$

$=7 \times 3 \times 7 \times 3$

$=21 \times 21$

$=(21)^2$

Thus, 441 is a perfect square.

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