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Yes, they do.
Factors come in pairs. When a number is squared it is only one factor.
Example:
16
2x8 = 2 factors
4x4 = 1 factor
1x16 = 2 factors
Total = 5 factors
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That's true of integers (whole numbers) that are perfect squares.
It turns out that every whole number has an even number of factors, but if the
number is a perfect square, then two of them are the same number, so there
appear to be an odd number of them.
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Judy
ProfessorOh, dude, let me drop some math knowledge on you. So, square numbers actually have an odd number of factors because they have one extra factor, which is the square root itself. It's like that one weird friend who always tags along. So, yeah, all square numbers are rocking an odd number of factors.
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Which number has an odd number of different factors?
All square numbers have an odd number of factors.
Do all numbers have an even number of factors?
No. Perfect square numbers have an odd number of factors.
Why do all non square numbers have even factors?
The factors of all numbers can be written in pairs. With square numbers, one of those pairs is the same number twice. When listed singly, square numbers have an odd number of factors. All others are even.
What type of number has a n odd number of factors?
all perfect square numbers
Explain why a prime number can't be a square number?
Prime numbers have two factors. All square numbers (other than 1) have more than that.
