## 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: 9

#### Answer

The number 6,126,120 is divisible by: 2, 3, 4, 5, 6, 8, 9, 10, and 12.

#### Work Step by Step

The number 6,126,120 is divisible by (using divisibility rules): a. 2 --Yes. It is an even number. b. 3 --Yes. The sum of its digits (6 + 1 + 2 + 6 + 1 + 2 + 0 = 18) is divisible by 3. c. 4 --Yes. Its last two digits (20) make a number that is divisible by 4. d. 5 --Yes. Its ones digit is either a zero or a five. e. 6 --Yes. It is divisible by both 2 and 3. f. 8 -- Yes. Its last three digits (120) 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 --Yes. The ones digit is a zero. i. 12 --Yes. It is divisible by 3 and 4.

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