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

Question

Using the prime factorisation method, find the following numbers are perfect squares:
$11025$

✓

Answer

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

Resolving into prime factors:

$11025$

$=441 \times 25$

$=49 \times 9 \times 5 \times 5$

$=7 \times 7 \times 3 \times 3 \times 5 \times 5$

$=7 \times 5 \times 3 \times 7 \times 5 \times 3$

$=105 \times 105$

$=(105)^2$

Thus, 11025 is a perfect square.

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