Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 6 - Cumulative Review - Page 264: 1


$$696=2\times 2\times 2 \times 3\times 29.$$

Work Step by Step

To find the prime factorization of $696$, we see what numbers go into $696$ evenly (without a remainder). We notice that $696$ is even, so we divide by $2$: $696\div 2=348$ Since $348$ is also even, we divide by $2$ again. $348\div 2=174$ Since $174$ is also even, we divide by $2$ once more: $174\div 2=87$ We notice that $87$ is divisible by $3$ because $8+7=15$ is divisible by $3$ (see rule on page 24 of book). So we have: $87\div 3=29$ Thus we have the following prime factors of $696$: $$696=2\times 2\times 2 \times 3\times 29.$$
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