# SOLUTION: Tell whether each number is divisible by 2,3,4,5,6,9,10. Then classify the number as even or odd? 1.(1,000), 2.(6,598), 3.(399), 4.(27,453), 5.(33,324) and 6.(16,335)?

Algebra ->  Algebra  -> Divisibility and Prime Numbers -> SOLUTION: Tell whether each number is divisible by 2,3,4,5,6,9,10. Then classify the number as even or odd? 1.(1,000), 2.(6,598), 3.(399), 4.(27,453), 5.(33,324) and 6.(16,335)?      Log On

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 Algebra: Divisibility and Prime Numbers Solvers Lessons Answers archive Quiz In Depth

 Question 49210: Tell whether each number is divisible by 2,3,4,5,6,9,10. Then classify the number as even or odd? 1.(1,000), 2.(6,598), 3.(399), 4.(27,453), 5.(33,324) and 6.(16,335)?Answer by AnlytcPhil(1276)   (Show Source): You can put this solution on YOUR website!Tell whether each number is divisible by 2,3,4,5,6,9,10. Then classify the number as even or odd? 1.(1,000), 2.(6,598), 3.(399), 4.(27,453), 5.(33,324) and 6.(16,335)? ----------------------------------- First, I'll give you the rules and an example of each. You'll need this: 0 is ALWAYS divisible by any positive integer. A number is divisible by 2 if the last digit is 0, 2, 4, 6 or 8. Example: 168 is divisible by 2 since the last digit is 8. A number is divisible by 3 if the sum of the digits is divisible by 3. Example: 168 is divisible by 3 since the sum of the digits is 15 (1+6+8=15), and 15 is divisible by 3. A number is divisible by 4 if the number formed by the last two digits is divisible by 4. Example: 316 is divisible by 4 since 16 is divisible by 4. A number is divisible by 5 if the last digit is either 0 or 5. Example: 195 is divisible by 5 since the last digit is 5. A number is divisible by 6 if it is divisible by 2 AND it is also divisible by 3. Example: 168 is divisible by 6 since it is divisible by 2 AND it is also divisible by 3. A number is divisible by 8 if the number formed by the last three digits is divisible by 8. Example: 7,120 is divisible by 8 since 120 is divisible by 8. A number is divisible by 9 if the sum of the digits is divisible by 9. Example: 549 is divisible by 9 since the sum of the digits is 18 (5+4+9=18), and 18 is divisible by 9. A number is divisible by 10 if the last digit is 0. Example: 1,470 is divisible by 10 since the last digit is 0. -------------------------------------- 1.(1,000), 1000 is divisible by 2 since it ends in 0 1000 is not divisible by 3 since the sum of the digits is 1 (1+0+0+0=1), and 1 is not divisible by 3. 1000 is divisible by 4 since 00, same as 0, is divisible by 4. 1000 is divisible by 5 since the last digit is 0. 1000 is not divisible by 6 because even though it is divisible by 2 it is not also divisible by 3. 1000 is divisible by 8 since 000, same as 0, is divisible by 8. 1000 is not divisible by 9 since the sum of the digits is 1 (1+0+0+0=1), and 1 is not divisible by 9. 1000 is divisible by 10 since its last digit is 0. ------------------------------------------------- 2.(6,598), 6,598 is divisible by 2 since it ends in 8 6,598 is not divisible by 3 since the sum of the digits is 1 (6+5+9+8=28), and 28 is not divisible by 3. 6,598 is not divisible by 4 since 98 is not divisible by 4. 6,598 is not divisible by 5 since the last digit is not 0 or 5. 6,598 is not divisible by 6 because even though it is divisible by 2 it is not also divisible by 3. 6,598 is not divisible by 8 since 598 is not divisible by 8. 6,598 is not divisible by 9 since the sum of the digits is 28 (6+5+9+8=28), and 28 is not divisible by 9. 6,598 is not divisible by 10 since its last digit is not 0. ------------------------------------------------------------- You do the rest. Just follow the rules above: 3.(399) Answer: divisible by 3 only 4.(27,453) Answer: divisible by 3 only 5.(33,324) Answer: divisible by 2, 3, 4, 6 6.(16,335) Answer: divisible by 3, 5, 9 Edwin