Question

List all the factors of the monomial.

$7xyz$

Short answer

The list of the factor of the monomial is 1, 7, x, y, z, xy, yz, xz, 7x, 7y, 7z, 7xy, 7yz, 7xzand 7xyz.

Step-by-step solution

  Define monomials

A monomial is an expression that has a single term, with variables and a coefficient. For example, $2xy$ is a monomial since it is a single term, has two variables, and one coefficient.

  State the concept to factor the monomial

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

  Factor the monomial

First, expand and separate the variables from its coefficients.

$\text{7}|xyz$

In the next step, expand each individually-

$7xyz=7\times x\times y\times z$

Therefore, the factors of the monomial $7xyz$are 1, 7, x, y, z, xy, yz, xz, 7x, 7y, 7z, 7xy, 7yz, 7xzand 7xyz.