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There can be no such number. Since if x is such a number then 4x is a square number with more factors. and if 4x is the number then 16x has more, etc.

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โˆ™ 2009-11-01 13:08:29
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Q: What square number has the most factors?
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Related questions

How is the number of factors of square numbers different from the number of factors for other numbers?

Square numbers have an odd number of factors.


Can you Compare the number of factors of a prime number to the number of factors of a square number?

Prime numbers have two factors. Prime squares have three factors. Square numbers have an odd number of factors but that number varies.


What is the next square number after ten does it has three factors?

The next square number after ten (which is not a square number) is 16. Sixteen has five factors.


Why does a square number have an odd number of factors?

A square number will have one factor pair that consists of the same number (the square root). In the list of factors, that number will be written once.


What number has 13 factors?

"Factors come in pairs, so this is impossible." This statement is false. A number can have an odd number of factors by having the square root as one of the factors. Find a number with 12 factors and a square root.


Do only square numbers have an even number of factors?

No, only square numbers have an odd number of factors.


Which number has an odd number of different factors?

All 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.


If a number has an odd number of factors is it a perfect square?

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.


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 true about square numbers and there factors?

Square numbers have an odd number of 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.


Odd number of factors?

Square numbers have an odd number of factors.


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 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


Does every number have an even number of factors?

No, square numbers have an odd number of factors.


What is one of the two equal factors of a number?

if the factors are equal the the number must be a square so the factor is the square root.


When you have a number that has exactly two equal factors each factor is called?

If a number has equal factors, it is a perfect square and the equal factors would be square roots.


Numbers that 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.


What is a square factor?

They are square factors that are factors of other numbers as for example 9 is a square number that is a factor of 27


What is a number called with an odd numbers of factors?

A square number or a perfect square.


What does One of three factors of a number called?

If a number has three factors, it's a perfect square. One of those three factors (apart from 1 and the number itself) would be the square root.


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.