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Q64.

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Pre-algebra

Found in: Page 179

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Write the prime factorization of the number 200.

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

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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,

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

Step -3 – Finding the Prime factor

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

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

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