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Because it's a square number. All perfect squares have an odd number of factors because they have one factor pair that is the same number twice (the square root) and when the factors are listed, the number is listed once.

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Q: Why does number 25 have a odd number of factors?
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Which numbers between 1 and 40 have an odd number of factors?

These numbers between 1 and 40 have an odd number of factors: 4, 9, 16, 25, 36.


Numbers that have an odd number of factors?

Square numbers have an odd number of factors.


Odd number factors?

Perfect squares are numbers with an odd number of factors.


What factors are odd?

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


Numbers that have an odd number of factors are?

Perfect squares ( also called square numbers) have an odd number of factors and primes squared have 3 factors. Brief Explanation: If you start with a prime number, it has 2 factors by definition. Square that number and you have 3 factors, which is an odd number. So primes squared always have an odd number of factors. For example, 5 has 1 and 5 as factors, 25 has 1,5, and 25. What about an odd number such as 21 which is not the square of a prime. It has factors 1, 21, 3 and 7 so an even number of factors. How about 27, 1,27, 3, 9 once again even. What I was trying to show is that factors of numbers come in pairs and so only certain numbers will have an odd number of factors. Let's look at one more perfect square that is not a prime squared. How about 16 which is 4 squared. The factors are 1,2,4,8,and 16 which is an odd number of factors. Looking at these as pairs we see the factor pairs of 16 are 1 x 16, 2 x 8, and 4 x 4, giving us the factors of 1, 2, 4, 8, and 16 - an odd number of factors. So we conclude that perfect squares have an odd number of factors and primes squared have 3 factors.

Related questions

Does composite numbers have an odd number of factors?

Composite numbers can have either an odd number or an even number of fractions. Factors of 25 are 1, 5, 25 . (odd number of them) Factors of 26 are 1, 2, 13, and 26 . (even number of them)


What number other than 25 has an odd number of factors?

An infinite number.


Which of these numbers has an odd number of factors 12 25 37 42 64 69?

16 has an odd number of factors; its factors are 1, 2, 4, 8, and 16


What is the second smallest two- digit number that has an odd number of factors?

25


Which number has a odd amount of factors?

Square numbers have odd amounts of factors because the square root is listed as a single factor, not a pair of factors. For example, the factors of 25 are 1, 5, 25.


Which numbers between 1 and 40 have an odd number of factors?

These numbers between 1 and 40 have an odd number of factors: 4, 9, 16, 25, 36.


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


Odd number of factors?

Square numbers have an odd number of factors.


What kind of factors have an odd number of factors?

Square numbers have an odd number of factors.


What type of number has an odd number of factors Give examples?

A square number, like 4, 9 and 25.


Is 25 an odd number or an even number?

25 is an odd number


What are factors of 36 but less than 25 but it is an odd number?

1, 3 and 9