Question

Factor each monomial completely.

$120mq$.

Short answer

The factorization of the given monomial$120mq$ is $\mathbf{2}\mathbf{\cdot }\mathbf{2}\mathbf{\cdot }\mathbf{2}\mathbf{\cdot }\mathbf{3}\mathbf{\cdot }\mathbf{5}\mathbf{\cdot }\mathit{m}\mathbf{\cdot }\mathit{q}$.

Step-by-step solution

Step 1. Find the factorization of 120.

Find the factorization of 120.

$120=2\cdot 2\cdot 2\cdot 3\cdot 5$

Therefore, the factorization of 120 is $2\cdot 2\cdot 2\cdot 3\cdot 5$.

Step 2. Find the factorization of the given monomial 120mq.

The factorization of the given monomial$120mq$ is:

$$\begin{gathered} 120mq=2\cdot 2\cdot 2\cdot 3\cdot 5\cdot mq \\ =2\cdot 2\cdot 2\cdot 3\cdot 5\cdot m\cdot q \end{gathered}$$

Therefore, the factorization of the given monomial$120mq$ is $2\cdot 2\cdot 2\cdot 3\cdot 5\cdot m\cdot q$.