No. Consider 15: 1,3,5,15
Every positive whole number has an even number of factors,
unless the number is a perfect square.
Square numbers have an odd number of factors.
All square numbers have an odd number of factors.
The GCF of any two odd numbers is always odd because odd numbers don't have any even factors. The GCF of any two even numbers is always even because even numbers are divisible by two and any common factors would have at least one two in common. The GCF of an even and an odd number is odd because odd numbers don't have any even factors.
Perfect squares are numbers with an odd number of factors.
Square numbers have an odd number of factors, but beyond that, any odd number can be a factor.
Only if an odd number of the factors are negative numbers.
Square numbers have an odd number of factors.
Yes. Square numbers have an odd number of factors. 49 has three 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.
Yes. An even number is defined as being evenly divisible by 2 (no fractional answers, only integers). If an odd number has an even factor, then because of the above definition, this odd number must have a factor of 2. But you will be hard pressed to find an odd number that is a multiple of 2, because that is already the definition of an even number. So, odd numbers cannot have even factors and thus odd numbers always have odd factors.
Square numbers have an odd number of factors.
Perfect squares have an odd number of factors.
All prime numbers have only 2 factors which are themselves and one. Al prime numbers are odd numbers except for 2 which is the only even prime number.
Both odd and even numbers may have odd numbers as factors.
The GCF of an odd and even number is never even.