Question
Using the prime factorisation method, find the following numbers are perfect squares:
$576$
$576$
✓
Answer
A perfect square can always be expressed as a product of equal factors.
Resolving into prime factors:
$576$
$=64 \times 9$
$=8 \times 8 \times 3 \times 3$
$=2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3$
$=24 \times 24$
$=(24)^2$
Thus, 576 is a perfect square
Resolving into prime factors:
$576$
$=64 \times 9$
$=8 \times 8 \times 3 \times 3$
$=2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3$
$=24 \times 24$
$=(24)^2$
Thus, 576 is a perfect square
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