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the prime factorization

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Where do you use the common factor in an expression consisting of various terms?

How do you determin the common factors in an expression.


What is the product of all common factors in a list of terms?

The product of all the common prime factors is the GCF. The product of all common factors would vary according to the list.


What is an expression called that cannot be factored?

If an expression does not have a common factor, then it is called a "prime" expression.


When will the Least Common Multiple LCM of two numbers be the product?

When the two numbers have no common factors. This is called relatively prime.


What are common factors in mathematics?

A factor is a number or quantity that when multiplied with another produces a given number or expression. Common factors are factors that two or more numbers have in common.


How can you determine if the least common multiple of 2 numbers is the product of the 2 numbers or less than the product of the 2 numbers?

If the GCF of a given pair of numbers is 1, the LCM will be equal to their product. If the GCF is greater than 1, the LCM will be less than their product. Or, stated another way, if the two numbers have no common prime factors, their LCM will be their product.


Is a common factor the product of two factors that are the same?

No, the product of two factors that are the same is a perfect square. Common factors are numbers that divide evenly into a given set of numbers.


How do you write a simplified expression in factored form?

To write a simplified expression in factored form, first identify common factors or patterns such as differences of squares, perfect squares, or the distributive property. Next, factor out the greatest common factor (GCF) if applicable. Then, look for any further factorization opportunities, such as factoring trinomials or using methods like grouping. Finally, rewrite the expression as a product of its factors, ensuring that it is in its simplest form.


Factors common to each monomial are called what?

Common factors


What is the LCM of two numbers that have no common factors?

Their product.


How do you factor the expression x squared plus 8?

You don't! There are no common factors.


What is the LCM of two number that have no greater common factors than one?

If two numbers have no common factor greater then one, then their LCM is the two numbers multiplied together. Example: 9 and 14 have no common factors. Their LCM is 9 x 14, which is 126.