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How do the factors proves that 32 is not a square number?

1 Answer

Dec 1, 2016

for a square number there is an even number of distinct factors.

Explanation:

$32 = 2 \times 2 \times 2 \times 2 \times 2$ $32=2xx2xx2xx2xx2$

$= 2^{5}$ $=2^5$

there are $5$ $"" 5" "$ 2s so 32 is not a square number.

however $64 = 2^{6}$ $" "64=2^6" "$ has 6 $2 s$ $" "2s" "$ so is a square number

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