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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.
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 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.
Do all numbers have an even number of factors?
No. Perfect square numbers have an odd number of factors.
Does every number have an even number of factors?
No, square numbers have an odd number of factors.
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 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.
Which Two factors will always go into Even numbers?
1 and 2 are factors of all even numbers.
Will a prime number always have an odd numbers of factors?
All prime numbers have only 2 factors which are themselves and one. Al prime numbers are odd numbers except for 2 which is the only even prime number.
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.
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.
What numbers always have 2 as one of their factors?
even numbers
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.
Do all even numbers have as a factors?
do you mean " what does all even numbers have as factors?"? then the number two.
Is the gcf of any two numbers two even numbers always even?
Yes because if it is even then all of it's factors will be even. It is fairly different if it's an odd number. But I will not get into that.
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.
