Prove that if the sum of digits of a number is divisible by 3, then so is the number. (Hint: Write 225 as 2 · 102 + 2 · 10 + 5, and consider each part modulo 3. Generalize this for any positive integer.)
Prove that if the sum of digits of a number is divisible by 3, then so is the number. (Hint: Write 225 as 2 · 102 + 2 · 10 + 5, and consider each part modulo 3. Generalize this for any positive integer.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 38E
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Prove that if the sum of digits of a number is divisible by 3, then so is the number. (Hint: Write 225 as 2 · 102 + 2 · 10 + 5, and consider each part modulo 3. Generalize this for any positive integer.)
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