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What is a number with only 3 factors called?
Any square of a prime number. For example, 5*5 = 25 has the factors 1, 5, 25. If you square any other prime number, call it "p", the factors of the result are 1, p, p square.
When does a number has 3 distinct factors?
When the number is a square of a prime number. Of course, it will have a repeated factor, but it will still only have 3 distinct factors. 4, 9, 25, 49, 121 are some examples.
What is the greatest perfect square that is a factor of 756?
One is a perfect square that is a factor of 7.
What arew all the factors of 2?
Two is a prime number (and the only even prime number). Its only factors are 1 and itself.
If you have only 2 factors and the difference between the 2 factors is 16 what are you?
17 If the number has only two factors, it must be a prime number. The only factors of 17 are 1 and 17. The difference between 1 and 17 is 16.
How can you tell the next square number with only three factors?
The numbers with only three factors are squares of prime numbers.
Do only square numbers have an even number of factors?
No, only square numbers have an odd number of factors.
What is the next square number after 100 that has only 3 factors including 1 and the number itself?
196Its only factors (other than itself and 1) are 2, 7, and 14.
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.
Is it only square numbers that have at odd number of factors?
Yes.
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.
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.
