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Is 4 a common factor of 20 and 31?
no because 31 is not an even number. Therefore an even number can not be a factor of it. 31 is a prime number so the only factors it has are 1 and 31
What is the even number that is greater than 3 and is a factor of 20?
4 is greater than 3 and is a factor of 20.
What is the trick if it is divisible by 4?
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.
What is a even number and a factor of 60?
60 is an even number and also a factor of itself
Is the greatest common factor of two even numbers always even?
Assuming the second even number is equal to 4 or greater, than the highest common factor of the two numbers is equal to an even number 2 or greater. Why can't an odd factor be used? Any odd factor must be multiplied by (at least) 2 to create an even product (ie. the 1st even number). That same odd factor must be multiplied by (at least 2) and any other number to create a 2nd even product, thereby making the Greatest Common Factor (at least) 2 times the odd number....which is an even number.
