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Two is a factor of all even numbers.
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∙ 10y ago
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Can two odd numbers have a greatest common factor that is an even number?
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.
Can two odd numbers have an even greatest common factor?
No. Odd numbers don't have even factors.
Is the greatest common factor of any 2 odd numbers odd?
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.
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.
Is 89 even or odd?
It is odd, as it is not divisible by two (and still leave a whole number).
Do all even numbers have only even numbers for factors?
At least one of the factors of an even number must be even, because the product of odd factors is always odd.
Is the greatest common factor of any two odd numbers always odd?
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.
Who discovered when any even number added with a prime number makes a whole number?
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.
What is the difference between the largest even two digit factor and the largest odd two digit factor of 1000?
25
Is 96162 even?
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.
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.
Is 28 an odd or even number?
Even. as when divided by two it gives a whole number of 14
