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:
$1176$
$= 7 \times 168$
$= 7 \times 21 \times 8$
$= 7 \times 7 \times 3 \times 2 \times 2 \times 2$
$1176$ cannot be expressed as a product of two equal numbers.
Thus, $1176$ is not a perfect square.
Resolving into prime factors:
$1176$
$= 7 \times 168$
$= 7 \times 21 \times 8$
$= 7 \times 7 \times 3 \times 2 \times 2 \times 2$
$1176$ cannot be expressed as a product of two equal numbers.
Thus, $1176$ is not a perfect square.
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