Question

Factor the monomial.

$\mathbf{15}{\mathbf{n}}^{\mathbf{3}}$

Short answer

The factored form of the monomial is $3\times 5\times n\times n\times n$.

Step-by-step solution

Step-1-Recall the concept to factor a monomial

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

Step-2- Factor the monomial

$\begin{array}{c}15n^3=3\times 5n^3\\ =3\times 5\times n\times n\times n\end{array}$

Step-3- Conclusion

The factored form of the monomial is $3\times 5\times n\times n\times n$.