Does every number have an even number of factors? - Vidyadip

Question

Does every number have an even number of factors?

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Answer

Not every number has an even number of factors. Only perfect squares have an odd number of factors, because they each have one factor which, when multiplied by itself, equals the number.

Number	Factors	Number of factors
1	1	1 (odd)
2	1, 2	2 (even)
3	1, 3	2 (even)
4	1, 2, 4	3 (odd)
5	1, 5	2 (even)
6	1, 2, 3, 6	4 (even)
7	1, 7	2 (even)
8	1, 2, 4, 8	4 (even)
9	1, 3, 9	3 (odd)
10	1, 2, 5, 10	4 (even)

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