Question

What is the prime factorization of $125$?

Answer 1

Determine the prime factorization of $125$.

Prime numbers are whole numbers greater than one that can only be divided equally by themselves and one.

Divide $125$ by only prime numbers to obtain the prime factorization.

The number $125$ is divided by $5$, which is a prime number.

$\begin{array}{rcl}125÷5& =& 25\\ & \Rightarrow & 25÷5=5\\ & \Rightarrow & 5÷5=1\end{array}$

Thus, the prime factorization of $125$ is obtained as follows:

$\begin{array}{rcl}125& =& 5\times 5\times 5\\ & \Rightarrow & 125=5^3\end{array}$

Hence, the prime factorization of $125$ is $5^3$.