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4,9,25. Any square with a Prime number as its root.
What else can I help you with?
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.
Do only square numbers have an even number of factors?
No, only square numbers have an odd number of factors.
What is the largest 2 digit number with exactly 3 factors?
The largest two-digit number with exactly three factors is 99. A number has exactly three factors if it is the square of a prime number, specifically in the form ( p^2 ) where ( p ) is a prime. The only prime number whose square is a two-digit number is 7, since ( 7^2 = 49 ) and ( 11^2 = 121 ) exceeds two digits. Thus, 49 is the largest two-digit number with exactly three factors.
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.
