# How do you factor monomials?

## How do you factor monomials?

To factor a monomial completely, we write the coefficient as a product of primes and expand the variable part.

What are the examples of common monomial factor?

A polynomial may be in more than one variable. For example, 5x^2y+10xy^2 is in the two variables x and y. Thus, a common monomial factor may have more than one variable. =2xy^2(2y-x+4).

What are the factors of 12mn?

2. Multiply each factor the greatest number of times it occurs in either number. The prime factors for 12 are 2⋅2⋅3 2 ⋅ 2 ⋅ 3 . 12 12 has factors of 2 2 and 6 6 .

### What is the variable factor in a monomial?

A monomial can be a constant (number), a variable (letter), or the product of one or more constants and variables. It’s important to note that the variables of a monomial cannot have a negative or fractional exponent.

What is greatest monomial factor?

A greatest common monomial factor is the largest term that goes into a list of given terms. In order to identify the greatest common monomial factor, write the prime factorization of each term, and the product of the common factors is the greatest common monomial factor.

How do you find the greatest common monomial factor?

To find the greatest common factor (GCF) between monomials, take each monomial and write it’s prime factorization. Then, identify the factors common to each monomial and multiply those common factors together. Bam! The GCF!

#### What is highest prime factor?

1151 is the largest prime factor !

Is 12 a prime factor?

A prime factor of a number is just a factor of that number that is also prime. So, 12 has six factors — 1, 2, 3, 4, 6, and 12 — but only two of them (2 and 3) are prime, so it has only two prime factors.

What grade do you learn monomials?