true or false. If every digit of a number is divisible by 3, then the number is divisible by 3. If a number is divisible by 3, then every digit of the number is divisible by 3. A number is divisible by 3 if, and only if, the sum of its digits is a multiple of 3.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 40E
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Classify each of the following statements as true or false.

  1. If every digit of a number is divisible by 3, then the number is divisible by 3.

  2. If a number is divisible by 3, then every digit of the number is divisible by 3.

  3. A number is divisible by 3 if, and only if, the sum of its digits is a multiple of 3.

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