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Algebra

20 cards

A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Factoring and Multiples

21 cards

What is the prime factorization of 24

What is the prime factorization of 54

What is the prime factorization of 64

What is the prime factorization of 34

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Factoring and Multiples

22 cards

What are the particles of matter

Particles of matter move slower as the matter is heated

What are the common factors of 32 and 54

Factors of 325

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Q: Is it true the gcf of any two numbers always even and why?
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Related questions

Is the gcf of any two even numbers is always even true or false?

True.


Is it true that the gcf of any two even numbers is always even?

Yes.


Is the gcf of any two even numbers is always even true?

Yes, that is true.


Is this true or false and why The gcf of any two even numbers is always even?

True. Even numbers are even because they are multiples of 2. That means that any two even numbers will have at least 2 as a common factor. Since that number (the GCF) will have 2 as a factor, it will be a multiple of 2: an even number.


Is it true that the GCF of any two even numbers always even?

Yes.


If the GCF of any two even numbers is always even?

Yes, that's true.


Is it true that if the GCF of any two odd numbers is always even true or false?

It is false.


Is the GCF of any two numbers is always odd?

The GCF of any two odd numbers is always odd. The GCF of any two even numbers is always even. The GCF of an odd and an even number is always odd.


Is this true for any two odd numbers?

There are two truths about odd numbers. When added you get an even number... always! When multiplied you get an odd number... always!


Why is the statement of the GCF of any two even numbers is always even true?

By definition, an even number has 2 as a factor. That means that any set of even numbers will have at least a common factor of 2. Since that common factor will also have 2 as a factor, it has to be even.


Is the GCF of any two numbers always odd and why?

The GCF of any two odd numbers is always odd because odd numbers don't have any even factors. The GCF of any two even numbers is always even because even numbers are divisible by two and any common factors would have at least one two in common. The GCF of an even and an odd number is odd because odd numbers don't have any even factors.


A group of students are finding the perimeters of rectangles whose lengths and widths are whole numbers they notice that all the perimeters are not even numbers is this always true?

No, it is always false. Perimeter of a rectangle= 2l + 2w, l= length, w=width. 2*any whole number, regardless odd or even, is even. Thus 2l is even and 2w is even. The sum of two even numbers is always even.


When you multiply any number of even numbers will the product always be odd?

No, the product will always be even.


Is it true that the greatest common factor of any to our numbers is always odd?

No, it is not true: it depends on what your numbers are.


Are even numbers under addition numbers?

Yes, when you add any two even numbers, the result is always an even number.


Is the gcf of any two even number is always even true or false?

True.


Why is the gcf of any two even numbers always even?

All even numbers have two as a factor. Any two even numbers have (at the least) two as a common factor. That means the GCF of any two even numbers will have two as a factor. Any number that has two as a factor is even.


Does the sum of three consecutive even numbers give you an odd or even number?

It will always give an even number, as adding any amount of even numbers always results in an even number.


Is the gcf of any two odd numbers is always odd true or false?

True.


The gcf of any two even numbers is always even?

That is correct.


Is the GCF of any two even numbers always even?

Yes.


Is the GCF of an odd number and an even always even?

No, always odd. Since odd numbers don't have any even factors, they can't have any in common.


Is the gcf of any two odd numbers always even?

No, always odd.


Are even numbers closed under addition?

Yes, when you add any two even numbers, the result is always an even number.


Is the greatest common factor of any even numbers always even?

Yes.