## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 5 - Number Theory and the Real Number System - 5.1 Number Theory: Prime and Composite Numbers - Exercise Set 5.1 - Page 256: 7

#### Answer

The number 374,832 is divisible by: 2, 3, 4, 6, 8, 9, and 12. It is not divisible by: 5 or 10

#### Work Step by Step

The number 374,832 is divisible by: a. 2 --Yes. The number is even. b. 3 --Yes. The sum of its digits (3 + 7 + 4 + 8 + 3 + 2 = 27) is divisible by 3. c. 4 --Yes. Its last two digits (32) make a number that is divisible by 4. d. 5 --no. Its ones digit is not a 0 or a 5. e. 6 --Yes. It is divisible by both 2 and 3. f. 8 --Yes. Its last 3 digits (832) make a number that is divisible by 8. g. 9 --Yes. The sum of its digits make a number that is divisible by 9. h. 10 --No. Its ones digit is not a 0. i. 12 --Yes. It is divisible by both 3 and 4.

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