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Why do all numbers other than square numbers have an even number of factors?
Factors come in pairs. It is only in the case of a square number that the two middle factors are equal and so are counted only once.
How many pairs of even numbers can you find whose sum is eighteen?
2 + 164 + 146 + 128 + 104 pairs of even numbers can be found whose sum is eighteen.
What kind of numbers only have even factors?
even numbers
Is 86 and 154 relatively prime or not relatively prime?
86 and 154 are not relatively prime because they are both even numbers. Relatively prime numbers have no common factors other than 1, and all even numbers have 2 as a common factor.
When are two composite numbers relatively prime?
Numbers called relatively prime have no common factors other than 1. All even numbers have 2 as a common factor, so no even number is relatively prime with any other even number. As an example, the factors of 14 are 1, 2, 7, and 14, and the factors of 15 are 1, 3, 5, and 15. 14 and 15 are relatively prime because the only factor they have in common is 1.
Why do all non square numbers have even factors?
The factors of all numbers can be written in pairs. With square numbers, one of those pairs is the same number twice. When listed singly, square numbers have an odd number of factors. All others are even.
What two factors are common to every even number?
1 and 2 are common factors to even numbers
If two is not a common factor of a pair of numbers what other numbers cannot be common factors?
Even numbers.
Can 2 numbers have no common factors?
No. All numbers have a common factor of 1, even if there are no others.
Why do regular composites have an even number of factors?
You have to multiply something by something else to get a product. All numbers have factors in pairs.
Can two odd numbers have an even greatest common factor?
No. Odd numbers don't have even factors.
Why do all numbers other than square numbers have an even number of factors?
Factors come in pairs. It is only in the case of a square number that the two middle factors are equal and so are counted only once.
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.
Are the greatest common factors of 2 even numbers awlways even?
yes because even numbers only go into 2 4 6.....
Can the greatest common factor of an odd and an even number ever be even?
No. Odd numbers don't have even factors.
Is it possible for two numbers that are both even to be relatively prime?
No. Two numbers are relatively prime if they have no prime factors in common. Two even numbers will have 2 as a prime factor in common.
Is the greatest common factor an odd number and even number is always even?
No. Odd numbers only have odd factors. They could not have an even factor in common.
