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Can you always find a third factor for larger even numbers?
Yes. An even number will always have as it's factors, itself, 1, 2 and another number. So the minimum number of factors for an even number other than 2 is four.
Is the gcf of an odd and even number always even?
No. The opposite is true: the gcf of an odd number and an even number is always odd. All the factors of an odd number are odd; or to put it another way: If a number has an even factor, the number itself must be even. Thus the only common factors between odd and even numbers must be odd.
Is an even number plus an even number always even?
Yes, an even number plus an even number is always even. Also, and odd number plus an odd number is always even.
Are the factors of an odd number always odd?
Yes. An even number is defined as being evenly divisible by 2 (no fractional answers, only integers). If an odd number has an even factor, then because of the above definition, this odd number must have a factor of 2. But you will be hard pressed to find an odd number that is a multiple of 2, because that is already the definition of an even number. So, odd numbers cannot have even factors and thus odd numbers always have odd factors.
What happens when you add an odd number and an odd number?
Two odd numbers always sum to an even number. Always. Two even numbers always sum to an even number, and an odd number and an even number always sum to an odd number.
Can you always find a third factor for larger even numbers?
Yes. An even number will always have as it's factors, itself, 1, 2 and another number. So the minimum number of factors for an even number other than 2 is four.
Is the gcf of a odd number and an even number always even?
The GCF of an odd and even number is never even.
Is the gcf of an odd and even number always even?
No. The opposite is true: the gcf of an odd number and an even number is always odd. All the factors of an odd number are odd; or to put it another way: If a number has an even factor, the number itself must be even. Thus the only common factors between odd and even numbers must be odd.
Why is the product of an even number and any other number always even?
When you multiply numbers together, the factors of the product are the factors of all of the multiplicands, and every even number includes at least one factor of 2.
Do odd numbers always have an odd number of factors?
No. Consider 15: 1,3,5,15 Every positive whole number has an even number of factors, unless the number is a perfect square.
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.
Can the greatest common factor of an odd and even number always even?
The GCF of an odd and an even number must be odd since odd numbers do not have any even factors.
Can an even number have odd factors?
2 X 7 = 14 2 X 3 = 6 Yes. The only rule is that when a number is multiplied by an even, it will always be an even number.
Is even number times even number always even?
Yes, it is. Any whole number times an even number will be even. This is because whole numbers can be represented as the product of their prime factors. Every even number contains 2 as a prime factor (thereby excluding all even numbers above 2 from being prime.) Additionally, the product of any two numbers is equal to the product of their prime factors. This means that the result of multiplying an even number by a whole number will always have a prime factor of 2, making it an even number.
Why is the gcf of an odd number and an even number always odd?
Because odd numbers don't have any even factors so they can't have any in common.
Is an even number plus an even number always even?
Yes, an even number plus an even number is always even. Also, and odd number plus an odd number is always even.
Which number is greater then 25 and has the most factors?
There is no such number with "most factors"; if you have a number with a certain number of factors, you can always multiply it by 2, or by 3, etc., to get another number that has even more factors.
