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Q: Is the number of factors of any square number odd or even?
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Why 81 have an odd number of factors and 40 have an even 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.


What is an even number and a square number?

An even number is any integer that can be divided by two evenly. A square number is any integer multiplied by itself. 2 is even 3 is odd 4 is even and a square of 2 9 is odd and a square of 3 The square of any even number will itself be an even number, and the square of any odd number will itself be an odd number.


Does all numbers have an even number of factor?

No. Any square number has an odd number of factors e.g. 25 = 1, 25, 5


What number is an even square number?

Any even number you square will give you a even square number =)


What is the median of the factors of 16?

The median of the factors of any square number is its square root, in this case, 4.


What square number has only three factors?

4,9,25. Any square with a prime number as its root.


How many numbers have only 3 factors?

Okay, whoever said that a number can only have an even number of factors IS Wrong Take a prime number and square it. If you square a prime number, the number you get will only have 3 factors. For example, if I squared the number 3, I would get 9. 9 only has three factors: 9, 3, 1 Any prime number squared has Three factors.


What is the name of a number with three factors?

Any square of a prime number.


How many factors do perfect square numbers have?

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.


What are the multiples of three but are square numbers?

Any even exponent of 3 is a square number.


How do you find the prime factors of a squared number?

The prime factors of a squared number are the prime factors, if any, of its square root.


What factors are odd?

Square numbers have an odd number of factors, but beyond that, any odd number can be a factor.