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 - 5.1 Number Theory: Prime and Composite Numbers - Exercise Set 5.1: 2

Answer

The number 7245 is divisible by: 3, 5, and 9. It is not divisible by: 2, 4, 6, 8, 10, or 12.

Work Step by Step

The number 7245 is divisble by: a. 2 --No, it is not an even number. b. 3 --Yes. The sum of its digits (7 + 2 + 4 + 5 = 18) is divisible by 3. c. 4 --No. The last 2 digits (45) make a number that is not divisible by 4. d. 5 --Yes. Its ones digit is a 0 or a 5. e. 6 --No. The number is not divisible by both 2 and 3. f. 8 --No, the last three digits (245) make a number that is not divisible by 8. g. 9 --Yes. The sum of its digits (18) is divisible by 9. h. 10 --No. Its ones digit is not a zero. i. 12 --No. It is not divisible by both 3 and 4.
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