# Do all even numbers have two as a factor?

Yes. All even numbers have 2 as a factor.

### Do all even numbers have a factor of 2 explain?

Yes, all even numbers have a factor of two due the fact that the are of an even sequence and can be divisible by two which is also an even number. Any number that is even is not prime because is can be divided by the factor 2, but two itself is a prime number as its only factors are itself and 1. All even number have to have a factor of two e.g 4…

### Can two even numbers have a greatest common factor that is an odd 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.

### When multiplying an odd number by an odd number why is the result odd?

The product of multiplication results in a number that has all of the factors of the two numbers being multiplied. All even numbers have the prime factor 2. Since no odd number has the factor 2, no product of those numbers can have it. So: - Odd numbers times odd numbers produce odd numbers. - Odd numbers times even numbers produce even numbers. - Even numbers times even numbers produce even numbers.

### Why are all prime numbers odd?

Not all prime numbers are odd. There is one prime number that is even: 2. A prime number is a number with two and only two factors: 1 (also known as unity) and itself. A composite number is a number with more than two factors. All even numbers are divisible by 2. Thus, all even numbers have 2 as a factor, which means that all even numbers greater than 2 have more than two factors…

### Is it true or false that two composite numbers are relatively prime and explain?

Two composite numbers may or may not be relatively prime, depending on their factors. Relatively prime numbers are sets of two or more numbers having 1 as their greatest common factor (gcf). All even numbers have 2 as a common factor, so no even number is relatively prime with any other even number.