Question

List all the factors of the monomial.

$52w$

Short answer

The list of the factor of the monomial is 1, 2, 4, 13, 26, 52, $w, 2w,4w,13w,26w$and $52w$.

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.

$\text{52}|\text{w}$

In the next step, expand each individually-

$52w=2\times 2\times 13\times w$

Therefore, the factors of the monomial $52w$ are 1, 2, 4, 13, 26, w, 2w, 4w, 13w, 26w, and 52w.