Question
Using the prime factorisation method, find the following numbers are perfect squares:
$4225$
$4225$
✓
Answer
A perfect square can always be expressed as a product of equal factors.
Resolving into prime factors:
$4225$
$= 25 × 169$
$= 5 × 5 × 13 × 13$
$= 5 × 13 × 5 × 13$
$= 65 × 65$
$= (65)^2$
Thus, $4225$ is a perfect square.
Resolving into prime factors:
$4225$
$= 25 × 169$
$= 5 × 5 × 13 × 13$
$= 5 × 13 × 5 × 13$
$= 65 × 65$
$= (65)^2$
Thus, $4225$ is a perfect square.
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