Let's take an example. 12 has the prime factors 22 x 3. If you square that, you'll get 24 x 32. Note that all the exponents in the square are even. The number of all possible factors (in this example) is (4+1)(2+1), since you can take each factor any number of times between zero, and the exponent for that factor - for example, you can use the factor 2 any number of times between zero and 4. Because of the added 1, all the factors are odd - and if you multiply only odd numbers, the result will also be odd.
Incorrect. Square numbers are composite and have an odd number of factors.
No, only square numbers have an odd number of factors.
Square numbers can't be prime. They have too many factors.
Yes. Square numbers have an odd number of factors. 49 has three factors.
Even powers of prime numbers. Square numbers have an odd number of factors.
Incorrect. Square numbers are composite and have an odd number of factors.
Prime numbers have two factors. All square numbers (other than 1) have more than that.
Square numbers have an odd number of factors.
Every square number (except 1) is composite. Prime numbers only have two factors, one and the numbers themselves. Since square numbers also have at least the square roots as factors, they have to be composite.
Square numbers have an odd number of factors.
All square numbers have an odd number of factors.
No, only square numbers have an odd number of factors.
Square numbers have an odd number of factors.
Square numbers have an odd number of factors.
Square numbers have an odd number of factors.
Square numbers have an odd number of factors.
Square numbers