Two is a factor of all even numbers.
No. Because both numbers are even, they each have 2 as a factor. Even if they have a larger factor in common, it will be a multiple of 2, so the greatest common factor will be an even number.Yes. Two even numbers are each divisible by 2. The GCF must therefore always have two as one of its factors; this makes it even.
No. Odd numbers don't have even factors.
It is odd, as it is not divisible by two (and still leave a whole number).
Not only can they, but they must. An odd number cannot have an even factor. So none of the factors of either of the two odd numbers can be even and so the GCF is made up of only odd factors and so it must be odd.
If it is even, divide it by two. If your second number is also even, your original number is divisible by four. This is a necessary and sufficient condition; A cannot be divisible by four if either of {A, B} is odd.If either your original number or your second number were odd, then the original number is not divisible by four.Proof of this rule (by cases):Where applicable, A = 2B.A even, B even: B = 2m (m is a whole factor of B) and therefore A = 4m, therefore 4 is a factor of A by definition of a factor.A even, B odd: if B is odd, it does not have 2 as a whole factor. Therefore there exists no whole m such that A = 4m, and therefore 4 is not a factor of A by definition of a factor.A odd: A cannot have any even factors. 4 is even. Therefore 4 is not a factor of A.
At least one of the factors of an even number must be even, because the product of odd factors is always odd.
It doesn't have to be a prime number and an even number. The sum of any two whole numbers is a whole number. Also, the sum of two even numbers is an even number, the sum of two odd numbers is an even number, and the sum of an odd number and an even number is an odd number.
Yes.Yes.2 can never be a factor of an odd number and because of that it can't be a common factor of any number pair where at least one of numbers is odd.
25
Yes. The final digit is a two... always look at the last digit in a number if you want to know whether it is even or odd. if the number is even, the whole number is even and if the last digit is odd than the whole number is odd.
Even. as when divided by two it gives a whole number of 14
All whole numbers ending in two are even.