Question

Write the prime factorization of the number 125

Short answer

The prime factorization is$5\times 5\times 5$.

Step-by-step solution

Step -1 - Apply the concept of   Prime Factorization

In this, simply use the concept of Prime factorization of the numbers in such a way that a number is divided by the smallest prime number from start and then divide again and again and try to make them as short as possible.

Step -2 – Find the Factorization

Here, the numbers are 125.

Divide the above number by the prime numbers that is$2,3,5,7,\mathrm{...}$according to the numbers.

Then,

$\begin{array}{l}125÷5=25\\ 25÷5=5\\ 5÷5=1\end{array}$

Step -3 – Finding the Prime factor

Now, from the above factorization, the prime Factors of 125 will be

$5\times 5\times 5$.