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Q64.

Expert-verified
Found in: Page 179

### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

# Write the prime factorization of the number 200.

The prime factorization is $2×2×5×5$.

See the 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$2,3,5,7,...$ 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

$2×2×5×5$