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: 4

Answer

The number 25025 is divisible by: 5 It is not divisible by: 2, 3, 4, 6, 8, 9, 10, nor 12.

Work Step by Step

The number 25025 is divisible by: a. 2 --no. The number is not even. b. 3 --no. The sum of the digits (2 + 5 + 0 + 2 + 5 = 14) is not divisible by 3. c. 4 --no. The last two digits of the number (25) do not make a number divisible by 4. d. 5 --yes. Its ones digit is a 0 or a 5. e. 6 --no. It is not divisible by both 2 and 3. f. 8 -- no. Its last three digits (025) do not make a number that is divisible by 8. g. 9 -- no. The sum of its digits is not divisible by 9. h. 10 -- no. The ones digit is not a zero. i. 12. no --It is not divisible by both 3 and 4.
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