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Q: What do people notice about the factors of a square number?

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What do you notice aboutthe numbers of fractors of square numbers

Square numbers have an odd number of factors.

Prime numbers have two factors. Prime squares have three factors. Square numbers have an odd number of factors but that number varies.

The next square number after ten (which is not a square number) is 16. Sixteen has five factors.

A square number will have one factor pair that consists of the same number (the square root). In the list of factors, that number will be written once.

"Factors come in pairs, so this is impossible." This statement is false. A number can have an odd number of factors by having the square root as one of the factors. Find a number with 12 factors and a square root.

No, only square numbers have an odd number of factors.

Square numbers have an odd number of factors.

Square numbers have an odd number of factors.

All square numbers have an odd number of factors.

Square numbers have an odd number of factors.

There can be no such number. Since if x is such a number then 4x is a square number with more factors. and if 4x is the number then 16x has more, etc.

Odd. I determined my answer by looking at the number of factors of a square number.

if a number has an odd number of factors it would be a perfect square

if a number has an odd number of factors it would be a perfect square

No, square numbers have an odd number of factors.

One of the factor pairs for a square number will be the same number twice. When you list the factors, you only need to write that number once. That will leave you with an odd number of factors.

If you mean 'prime' factors, then an odd number of them CAN'T produce a perfect square. Consider 3 factors ... A, B, and C. If their product were a perfect square, then AxB=C, which can't be true if C is a prime number. For non-prime factors, an odd number of them may or may not be a perfect square: Three factors = not a square: 2 x 3 x 5 = 30. Three factors = a square: 2 x 3 x 6 = 36.

if the factors are equal the the number must be a square so the factor is the square root.

Square numbers have an odd number of factors.

Square numbers have an odd number of factors.

A number will have an odd number of factors if and only if one of those factors is the square root of the number. This is because any factor of a number you can find must pair up with another factor of that number, and multiply to give the number. The only exception is when the factor would be paired with itself. In other words, be the square root. 81 is a square number, and so the factor 9 (square root of 81) will not pair with any other factor, meaning 81 will have an odd number of factors. 40 has an even number of factors, because it is not a square number, and so all its factors can pair up.

A square number or a perfect square.

They are square factors that are factors of other numbers as for example 9 is a square number that is a factor of 27

If a number has equal factors, it is a perfect square and the equal factors would be square roots.