Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 4 - Section 4.2 - Factors and Simplest Form - Practice - Page 226: 1

Answer

$30=2\cdot 3\cdot 5$ $56=2\cdot 2\cdot 2\cdot 7$ $72=2\cdot 2\cdot 2\cdot 3\cdot 3$

Work Step by Step

$a.$ $ \begin{array}{cccccccc} & & & & 30 & & & \\ & & & & \swarrow\searrow & & & & \\ & & & 2 & \times & 15 & & \\ & & & & & \swarrow\searrow & & & \\ & & & & 3 & \times & 5 & \end{array}$ $30=2\cdot 3\cdot 5$ $b.$ $ \begin{array}{cccccccc} & & 56 & & & \\ & & \swarrow\searrow & & & & \\ & 2 & \times & 28 & & \\ & & & \swarrow\searrow & & & \\ & & 2 & \times & 14 & \\ & & & & \swarrow\searrow & & \\ & & & 2 & \times & 7 \end{array}$ $56=2\cdot 2\cdot 2\cdot 7$ $c. \\ \begin{array}{llllllll} & & 72 & & & & \\ & & \swarrow\searrow & & & & & \\ & 2 & \times & 36 & & & \\ & & & \swarrow\searrow & & & & \\ & & 2 & \times & 18 & & \\ & & & & \swarrow\searrow & & & \\ & & & 2 & \times & 9 & \\ & & & & & \swarrow\searrow & & \\ & & & & 3 & \times & 3 \end{array}$ $72=2\cdot 2\cdot 2\cdot 3\cdot 3$
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