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That statement is false. For example, the number 900, which equals 30 squared, has the prime factors 2, 3 and 5. But many other non-prime factors exist for it such as 9, 15, 50, 100, 300 and 450.
A square can be constructed with any number of prime factors, too. For example, here is one with 4 prime factors: 22 * 32 *52 * 72 = (2*3*5*7)2 = 2102 = 44100.
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∙ 11y ago
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Do only square numbers have an even number of factors?
No, only square numbers have an odd number of factors.
What is a number with only three factors called?
A square number
What is the square of a prime number?
The square of any prime number has only three factors. Example: 121 is the square of 11, a prime number. The only factors of 121 are 1, 11, and 121 itself.
What square number has only three factors?
4,9,25. Any square with a prime number as its root.
How many numbers have only 3 factors?
Okay, whoever said that a number can only have an even number of factors IS Wrong Take a prime number and square it. If you square a prime number, the number you get will only have 3 factors. For example, if I squared the number 3, I would get 9. 9 only has three factors: 9, 3, 1 Any prime number squared has Three factors.
What numbers with exactly 3 factors are?
A number has exactly three factors if and only if it is the square of a prime number.
Why does a square number always have an odd number of factors?
Factors can be listed as factor pairs. With square numbers, one of those pairs will be the same number twice. When written as a list, only one of them will be used, leaving an odd number of factors.
Why do all numbers other than square numbers have an even number of factors?
Factors come in pairs. It is only in the case of a square number that the two middle factors are equal and so are counted only once.
Is it only square numbers that have at odd number of factors?
Yes.
A number with only 3 factors?
The square of any prime number has exactly 3 factors. They are: 1). 1 2). the number itself 3). the prime number which is its square-root
What are the factors of 84 and 105 that are square numbers?
4 is the only square number that is a factor of 84. No square number is a factor of 105.
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.
