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.
No, only square numbers have an odd number of factors.
A square 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.
4,9,25. Any square with a prime number as its root.
A number has exactly three factors if and only if it is the square of a prime number.
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.
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.
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.
4 is the only square number that is a factor of 84. No square number is a factor of 105.
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