Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - Chapter Summary, Review, and Test - Review Exercises: 1

Answer

238,632 is divisible by 2, 3, 4, 6, 8, and 12. It is NOT divisible by 5, 9, or 10.

Work Step by Step

Using divisibility rules for the number 238,632. The number: is divisible by 2 because it is even (its ones digit is even --it is 0, 2, 4, 6, or 8) Is divisible by 3 because the sum of its digits (2 + 3 + 8 + 6 + 3 + 2 = 24) is divisible by 3. Is divisible by 4 because its last two digits (32) is divisible by 4. Is NOT divisible by 5 because its ones digit is not 0 or 5. Is divisible by 6 because it is divisible by BOTH 2 and 3. Is divisible by 8 because its last three digits (632) is divisible by 8. Is NOT divisible by 9 because the sum of its digits (24) is not divisible by 9. Is NOT divisible by 10 because its ones digit is not 0 or 5. Is divisible by 12 because it is divisible by BOTH 3 and 4.
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