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 - Chapter Summary, Review, and Test - Review Exercises: 2

Answer

The number 421,153,470 is divisible by: 2, 3, 5, 6, 9, 10 The number (above) is NOT divisible by: 4, 8, 12

Work Step by Step

Using divisibility rules, we find that the number 421,153,470: Is divisible by 2 because its ones digit is even (the ones digit is one of the following: 0, 2, 4, 6, 8) Is divisible by 3 because the sum of its digits is divisible by 3. (4 + 2 + 1 + 1 + 5 + 3 + 4 + 7 + 0 = 27) Is NOT divisible by 4 because its tens and ones digit (70) isn't divisible by 4. Is divisible by 5 because its ones digit is either 5 or 0. Is divisible by 6 because it is divisible by BOTH 2 and 3. Is not divisible by 8 because its last three digits (470) isn't divisible by 8. Is divisible by 9 because the sum of its digits (27) is divisible by 9. Is divisible by 10 because its ones digit is a 0. Is NOT divisible by 12 because it is not divisible by BOTH 2 and 4.
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