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A perfect square has an odd number of factors.

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โˆ™ 2012-04-01 17:05:45
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Q: What type of factor has an odd number of factors?
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Related questions

What do you call an odd number factor?

I would call an odd number factor a factor that is an odd number. I would call a number with an odd number of factors a perfect square.


What factors are odd?

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


What number has an odd number for a factor?

All odd numbers have odd factors.


How do you find the greatest odd factor?

All nonzero numbers have factors. Some factors are odd numbers. The largest of these would be the greatest odd factor. Of course, the greatest odd factor of any odd number is the number itself.


What is a number called that has an odd number of factor pairs?

A square number has an odd number of factors, but a number with an odd number of factor pairs is nothing special.


How do you find an odd factor of a number?

All nonzero numbers have factors. Some factors are odd numbers. 3 is an odd factor of 12.


How are odd and even products related to their factors?

2 cannot be a factor of an odd number, 2 must be a factor of an even number.


What type of numbers has an odd number of factors?

Square numbers have an odd number of factors.


Why do some of the factor rainbows have an even number of factors and some have an odd number of factors?

Factor rainbows display the prime factors of a given number. Some numbers, Like 27, have an odd number of prime factors. Some numbers, like 81, have an even number of prime factors.


Is the greatest common factor an odd number and even number is always even?

No. Odd numbers only have odd factors. They could not have an even factor in common.


Is the gcf of an odd and even number always even?

No. The opposite is true: the gcf of an odd number and an even number is always odd. All the factors of an odd number are odd; or to put it another way: If a number has an even factor, the number itself must be even. Thus the only common factors between odd and even numbers must be odd.


Are the factors of an odd number always odd?

Yes. An even number is defined as being evenly divisible by 2 (no fractional answers, only integers). If an odd number has an even factor, then because of the above definition, this odd number must have a factor of 2. But you will be hard pressed to find an odd number that is a multiple of 2, because that is already the definition of an even number. So, odd numbers cannot have even factors and thus odd numbers always have odd factors.


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 are the numbers that have an odd factor?

Every integer number has an odd factor unless it doesn't, i.e. unless it only has even factors. An even factor can have an odd factor, unless it has only factors 2 (since it is the only even prime).So, a number has an odd factor if it is unequal to a power of 2.Note that 0 is not a power of 2 and has all odd factors . . .


How many integers less than 100 have an odd number of factors?

There are 9 integers less than 100 that have an odd number of factors.Every factor of a number has a pair, eg 2 & 3 are a factor pair of 6; and so it would be expected that every number has an even number of factors.However, if the factor pair of a number are the same number (eg 6 & 6 are a factor pair of 36), then there will be an odd number of factors.When there is a repeated factor like this, the number is a perfect square.Thus only perfect squares have an odd number of factors.Less than 100 there are 9 perfect squares (1, 4, 9, 16, 25, 36, 49, 64 & 81) which have an odd number of factors.100 itself is a perfect square and also has an odd number of factors, but the question asked for those numbers less than 100 with an odd number of factors.


How many odd factors are there?

Since any odd number can be a factor, there is an infinite amount of them.


Why does a square number always 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.


What number is a factor of 32 and its sum is odd?

1 and 16 are factors of 32 and their sum is 17 which is an odd number


What are two examples of a type of number that has an odd number factor?

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).


What type of number has odd numbers as factors?

Both odd and even numbers may have odd numbers as factors.


What type of number has an odd number of factors example?

Square numbers have odd numbers of factors. Examples: 4, 9, 16


What odd numbers that has the same factors of 96?

None. One of the factors of 96 is 2, and no odd number has a factor of 2.


Can the greatest common factor of an odd and even number always even?

The GCF of an odd and an even number must be odd since odd numbers do not have any even factors.


What is the largest odd factor?

Factors are any number that can be multiplied by another number to equal a different number. The largest odd factor is not defined because numbers can go up to infinity.


How do you find highest odd factor of a number?

If the number is odd, that's the answer. If the number is even, write down all the factors and choose the largest one that is odd.