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Is it true all numbers with twelve as a factor have two and ten as factors?
Wiki User
∙ 11y ago
No, that's not true. 12 itself is a multiple of 12 (has 12 as a factor), but it doesn't have 10 as a factor. However, every multiple of 12 will have 1, 2, 3, 4, 6, and 12 as factors.
Wiki User
∙ 11y ago
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Is it true that every number has a 0.5 factor?
No because factors are whole numbers but every whole number except zero has 1 as a factor.
Do all even numbers have only even numbers for factors?
At least one of the factors of an even number must be even, because the product of odd factors is always odd.
When you factor with tiles the height and width of the rectangle are the factors of the polynomial?
True
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 greatest common factor of two numbers is equal to the lesser of the number?
Well, not always. The GCF and LCM of 10 and 10 is 10. But apart from that special circumstance, the statement is true. Apart from a number itself, all of its factors are smaller than it. Apart from a number itself, all of its multiples are larger than it. You can't have a GCF that is greater than the smaller number, and you can't have an LCM that is less than the larger one which means that the LCM of two numbers will never be less than the GCF. Factors go into numbers, numbers go into multiples.
What is the true meaning of greatest common factor?
All numbers have factors. Some numbers have some of the same factors as other numbers. These are known as common factors. Specific sets of numbers will have specific lists of common factors. The largest number on the list of common factors is the greatest common factor, or GCF. It is the largest number that will divide evenly with no remainder into a set of given numbers.
Do all even numbers have only even numbers for factors?
At least one of the factors of an even number must be even, because the product of odd factors is always odd.
Is it true that every number has a 0.5 factor?
No because factors are whole numbers but every whole number except zero has 1 as a factor.
True or false the greatest common factor of two relatively prime numbers is always 1?
True. By definition for two numbers to be relatively prime they must not share any common factors. So their greatest (and only) common factor would be 1.
Which term makes this sentence true the greatest least of the common factors of two or more numbers is the greatest least common factor of the numbers?
Actually, both can be true, but the answer your teacher is probably looking for is "greatest."
Is it true that if two numbers have no common prime factors the greatest common factor is 1?
Yes it is, because every number at least has two factors: itself, and 1.
What is true about square numbers and there factors?
Square numbers have an odd number of factors.
What is the greatest common factor of 57?
There is not a greatest common factor of a single number, such as 57, because there cannot be a greatest common factor without two or more numbers to compare. Common factors are factors that the numbers being compared have in common. The greatest common factor is the largest factor that all the numbers being compared have in common.The factors of 57 are 1, 3, 19, and 57.The prime factors of 57 are 3 and 19.Examples:The greatest common factor of 27 and 57 is 3.The greatest common factor of 57 and 133 is 19.The greatest common factor of 57 and 106 is 1. factors are 3 and 19GCF of 57 is 57.* * * * *That is not true. You cannot have a GCF of just one number. The C of GCF stands for COMMON - that is, common to two or more numbers. So the GCF is defined only for 2 or more numbers.
Is it true that two distinct prime numbers can are relatively prime?
It is true. Two numbers are relatively prime if they do not have any factors in common greater than 1. A prime number has only two factors - 1 and itself. Thus, two different prime numbers will only have 1 as a common factor, which means they are relatively prime.
When you factor with tiles the height and the width of the rectangle are the factors of the polynomial. True or False?
True
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.
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.
