Because if you think about it, a square number has two factors that are the same. For example, look at the number 16. Its factors are 1, 2, 4, 8, and 16. 1 and 16 go together, 2 and 8 go together, and then 4 gets paired up with another 4.
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It depends what square number you're looking at. The square number 25 has only three factors (1, 5 and 25) but the square number 16 has 5 (1, 2, 4, 8 and 16.) A key point is that the factors don't pair up. There is always one middle factor that is the square root of the number and so cannot pair with any other factor. This means that all square numbers have an odd number of factors, while other numbers have an even number of factors.
All numbers that are the square of primes have exactly 3 factors.
No - but it is a square number. 1,3,6,10,15,21 & 28 are all triangular numbers. 1,4,9,16,25 & 36 are all square numbers.
All numbers have factors. Some factors are perfect squares. We call these perfect square factors. 9 is a perfect square factor of 27.
There are infinitely many of them. The square of every odd number will be an odd square number.