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If a number has an odd number of factors is it a perfect square?
Wiki User
∙ 14y ago
If you mean 'prime' factors, then an odd number of them CAN'T produce a perfect square. Consider 3 factors ... A, B, and C. If their product were a perfect square, then AxB=C, which can't be true if C is a Prime number. For non-prime factors, an odd number of them may or may not be a perfect square: Three factors = not a square: 2 x 3 x 5 = 30. Three factors = a square: 2 x 3 x 6 = 36.
Wiki User
∙ 14y ago
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Can a perfect number be odd?
If by 'perfect number' you mean 'perfect SQUARE', then yes. 49 is an odd number and a perfect square.
Can an odd number have odd numbers of factors?
Yes. Square numbers have an odd number of factors. 49 has three factors.
What is another name for an odd number of factors?
Square numbers have an odd number of factors.
Is the number of factors of any square number odd or even?
Odd.
Do only square numbers have an even number of factors?
No, only square numbers have an odd number of factors.
What type of factor has an odd number of factors?
A perfect square has 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
What is a number that has odd number of factors?
if a number has an odd number of factors it would be a perfect square
What type of number has an odd number of factors?
A perfect square has an odd number of factors. Factors of numbers always come in pairs -- except for perfect squares. Since the square root of a perfect square is listed only once on the list of factors, it results in a list with an odd number of factors.
What do you call a number with a odd number of factors?
a perfect square
What type of number has an odd number factors?
A perfect square.
What type of a number has an odd number of factors?
A perfect square.
What time of number has a odd number of factors?
A perfect square.
What is a number called with an odd numbers of factors?
A square number or a perfect square.
What type of number has odd number of factors?
A perfect square.
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.
Does a perfect square number have even or odd number of distinct factors?
An odd number.
