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Why is 2 a factor of every other number?
2 is a factor of every even number. Adding or subtracting one from an even number leaves an odd number. Since even and odd numbers alternate, 2 will be a factor of every other number.
Are even numbers closed for addition?
Yes, the sum of any two even numbers is an even number. This means they are closed under addition. Closure Property: For every even number a, for every even number b, a + b is an even number.
Is the gcf of an odd and even number always even?
No. The opposite is true: the gcf of an odd number and an even number is always odd. All the factors of an odd number are odd; or to put it another way: If a number has an even factor, the number itself must be even. Thus the only common factors between odd and even numbers must be odd.
Can you always find a third factor for larger even numbers?
Yes. An even number will always have as it's factors, itself, 1, 2 and another number. So the minimum number of factors for an even number other than 2 is four.
The product of an even number of negative factors?
negative
