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Can even square numbers mutiply into an odd number?
Even square numbers are even, by definition. Two even numbers multiplied together give an even number so no, they cannot multiply to give an odd number. You have to multiply an even number by an odd number to do this.
Do only square numbers have an even number of factors?
No, only square numbers have an odd number of factors.
What square numbers are even and which square numbers are odd?
The square of every positive or negative even whole number is a positive even whole number. The square of every positive or negative odd whole number is a positive odd whole number. There are an infinite number of each kind.
What is a square number but not even?
A square number is a number that is the result of multiplying an integer by itself. For example, 1, 4, 9, 16, and 25 are square numbers because they are the result of 1x1, 2x2, 3x3, 4x4, and 5x5 respectively. While square numbers can be odd or even, they are always whole numbers.
Do all numbers have an even number of factors?
No. Perfect square numbers have an odd number of factors.
Does composite numbers have an even number of factors?
Not necessarily. Square numbers don't.
What are the multiples of three but are square numbers?
Any even exponent of 3 is a square number.
Why do all non square numbers have even factors?
The factors of all numbers can be written in pairs. With square numbers, one of those pairs is the same number twice. When listed singly, square numbers have an odd number of factors. All others are even.
Are square numbers always even?
No, but only in the case of the number 1 (12=1) are square numbers odd.
What types of numbers has an odd number of factors?
Even powers of prime numbers. Square numbers have an odd number of factors.
Does every number have an even number of factors?
No, square numbers have an odd number of factors.
What is special about the number of factors for square numbers?
Square numbers have an odd number of factors, all others have an even number. In this context, primes can either be considered as having 0 factors (an even number) or 2 factors - 1 and itself, again, an even number.
