Yes.
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There are square numbers (numbers which are a square of an integer), such as 4. It's factors, listed are 1, 2, and 4. All square numbers have an odd number of factors. Then there's 1, which has only 1 factor: 1. All other numbers have an even number of factors. Prime numbers will have only 2 factors (2 is even).
yes because square numbers have to be hole numbers to be square
Suppose you have a number n which is not a square. Suppose now that a is a factor of n ie there is some integer b, such that a*b = n. Now since n is not a square, b is not the same as a. Thus for every factor a, there is another factor b ie the factors come in pairs. Therefore, there are an even number of factors.
No square number is a prime number, since it has the number you squared as a factor. There are several square numbers less than 100. Just calculate the squares of all numbers, starting with 1, until you reach or pass 100. Then stop.
All numbers can be factors.