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: 6

Answer

The number 89001 is divisible by: 3 and 9. It is not divisible by: 2, 4, 5, 6, 8, 10 or 12.

Work Step by Step

Using divisibility rules, we can find the divisibility of 89001. It is/is not divisible by: a. 2 --no. It is not even. b. 3 --Yes. The sum of its digits (8 + 9 + 0 + 0 + 1 = 18), which is divisible by 3. c. 4 --no. The last two digits (01) do not make a number that is divisible by 4. d. 5 --no. Its ones digit is not a 0 or 5. e. 6 -- no. It is not divisible by both 2 and 3. f. 8 --no. The last three digits (001) 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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