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What do we know about a number that has an odd number of distinct factors?
Wiki User
∙ 7y ago
It's a perfect square.
Wiki User
∙ 7y ago
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Does a perfect square number have even or odd number of distinct factors?
An odd number.
Does a perfect square number have and even or odd number of distinct factors show how you determine your answer?
Odd. I determined my answer by looking at the number of factors of a square number.
What kind of factors have an odd number of factors?
Square numbers have an odd number of factors.
What is the word for an odd number of factors?
Square numbers have an odd number of factors.
Do numbers always have more than two factors?
No, an odd number can have any number of factors. There is no limit but you do know that the number 2 is not one of those factors.
Does a perfect square number have even or odd number of distinct factors?
An odd number.
What sort of numbers have an odd number of factors why?
A perfect square has an odd number of distinct factors, because two of its factors are the same number.
Does a perfect square number have and even or odd number of distinct factors show how you determine your answer?
Odd. I determined my answer by looking at the number of factors of a square number.
What is the least natural number that has exactly 4 distinct odd factors?
3*5*7*9 = 945 ...check if any number less than that has exactly four distinct factors.
What you know about the factors when the products are square numbers?
There will be an odd number of different factors.
Which odd number has 12 factors?
Well,I know that 9999 is one number:)
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.
Do perfect squares have an even or odd set of prime factors?
FactorsPerfect squares have an odd number of factors. If you think of factor pairs, the pair of factor that when multiplied together equals the given number, you realize that there are two factors for each pair until you come to the factor that when squared equals the number. For example, 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.Prime FactorsHowever, the situation is different with prime factors. It will depend on whether you list every prime factor or only the distinct prime factors. There will always be an even number of prime factors because when you square a number, you double the prime factors, which means you have an even number. That is not the case for distinct prime factors, because when you square a number, you are not adding any additional distinct factors. So, in some cases, there will be an even number of distinct prime factors and sometimes an odd number. Some examples follow.4 = 2 x 2. There are two prime factors, but one distinct prime factor.36 = 2 x 2 x 3 x 3. There are four prime factors and two distinct prime factors.900 = 2 x 2 x 3 x 3 x 5 x 5. There are six prime factors and three distinct prime factors.
Can an odd number have odd numbers of factors?
Yes. Square numbers have an odd number of factors. 49 has three factors.
Can a number have an odd number of factors?
Yes, quare numbers have an odd number of factors.
What is a number that has an odd number of factors?
if a number has an odd number of factors it would be a perfect square
