Question

Write the prime factorization of the number 200.

Short answer

The prime factorization is $2\times 2\times 5\times 5$.

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 are200 .

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

Then,

$\begin{array}{l}200÷2=100\\ 100÷2=50\\ 50÷2=25\\ 25÷5=5\\ 5÷5=1\end{array}$

Step -3 – Finding the Prime factor

Now, from the above factorization, the prime Factors of 200will be

$2\times 2\times 5\times 5$