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:
$441$
$= 19 × 9$
$= 7 × 7 × 3 × 3$
$= 7 × 3 × 7 × 3$
$= 21 × 21$
$= (21)^2$
Thus, $441$ is a perfect square.
Resolving into prime factors:
$441$
$= 19 × 9$
$= 7 × 7 × 3 × 3$
$= 7 × 3 × 7 × 3$
$= 21 × 21$
$= (21)^2$
Thus, $441$ is a perfect square.
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