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: 10

Answer

The number 5,941,221 is divisible by: 3 It is not divisible by: 2, 4, 5, 6, 8, 9, 10, or 12.

Work Step by Step

The number 5, 941, 221 is divisible by: a. 2 --No. It is not even. b. 3 --Yes. The sum of its digits (5 + 9 + 4 + 1 + 2 + 2 + 1 = 24) is divisible by 3. c. 4 --No. The last two digits (21) make a number that is not divisible by 4. d. 5 --No. The ones digit is not a zero, nor is it a five. e. 6 --No. The number is not divisible by both 2 and 3. f. 8 --No. The last three digits (221) make a number that is not divisible by 8. g. 9 --No. The sum of the digits is not divisible by 9. h. 10 --No. The ones digit is not a zero. i. 12 --No. The number is not divisible by 3 and 4.
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