It can be shown (see exercises 4448) that an integer is divisible by 3 if, and only if

Chapter 4, Problem 36

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It can be shown (see exercises 4448) that an integer is divisible by 3 if, and only if, the sum of its digits is divisible by 3. An integer is divisible by 9 if, and only if, the sum of its digits is divisible by 9. An integer is divisible by 5 if, and only if, its right-most digit is a 5 or a 0. And an integer is divisible by 4 if, and only if, the number formed by its right-most two digits is divisible by 4. Check the following integers for divisibility by 3, 4, 5 and 9. a. 637,425,403,705,125 b. 12,858,306,120,312 c. 517,924,440,926,512 d. 14,328,083,360,232

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