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: 1

Answer

The number 6944 is divisible by: 2, 4, and 8. It is not divisible by: 3, 5, 6, 9, 10, and 12.

Work Step by Step

We can find if 6944 is divisible by several different numbers by using the divisibility rules. Is 6944 divisible by: a. 2 --Yes, because the ones digit in 6944 is even (it is a 0, 2, 4, 6, or 8). b. 3 --No, the sum of the digits in 6944 (6 + 9 + 4 + 4 = 23) is not divisible by 3. c. 4 --Yes. The last two digits (44) are divisible by 4. d. 5 --No. The ones digit is not a 0 or 5. e. 6 --No. The number is not divisible by BOTH 2 and 3. f. 8 --Yes. The last three digits of the number (944) make a number that is divisible by 8. g. 9 --No. The sum of the digits (23) is not 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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.