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 - Page 256: 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.
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