Best Answer

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

***

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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No, but they do have an odd number of factors.

Q: Do all square numbers have an odd number of factors?

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All square numbers have an odd number of factors.

No. Perfect square numbers have an odd number of 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.

all perfect square numbers

Prime numbers have two factors. All square numbers (other than 1) have more than that.

Related questions

All square numbers have an odd number of factors.

No. Perfect square numbers have an odd number of 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.

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).

Square numbers have an odd number of factors, all others have an even number. In this context, primes can either be considered as having 0 factors (an even number) or 2 factors - 1 and itself, again, an even number.

all perfect square numbers

Factors come in pairs. It is only in the case of a square number that the two middle factors are equal and so are counted only once.

Different square numbers have different sets of factors. The only thing they all have in common is an odd number of factors.

Every square number (except 1) is composite. Prime numbers only have two factors, one and the numbers themselves. Since square numbers also have at least the square roots as factors, they have to be composite.

Prime numbers have two factors. All square numbers (other than 1) have more than that.

No. 81=9*9=3*27=1*81 81 has 5 factors and is a square number. 36=6*6=3*12=1*36=2*18=4*9 36 has 9 factors and is a square number. This doesn't mean that no square numbers have exactly 3 factors though, because: 9=3*3=1*9 9 has 3 factors and is a square number. 4=2*2=1*4 4 has 3 factors and is a square number. All square numbers have an odd number of factors though (because they have a whole number which multiplies by itself to get the number). Factors are whole numbers only, and not decimals. Hope this helps :)

To find out if a number is a square number, find its prime factors and check if all prime factors duplicate. In this example, the prime factors are: 2,2,5,5,5,5 We can see that all numbers are duplicates, and can be paired up. So 2500 is a square number of 2x5x5 or 50.