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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 929 · 40 sums
TalentJR

The trick (Ekadhikena Purvena): 2, 5, 10: the last digit (even; 0 or 5; 0). 3 and 9: add the digits. 4: the last two digits. 8: the last three digits. 6: even and passes the rule for 3. 11: from the right, add the 1st, 3rd, 5th… digits and the 2nd, 4th… digits; the difference must be 0 or a multiple of 11. Any prime p: multiply p by 1, 3, 7 or 9 so it ends in 9; one more than the digits before the 9 is the osculator (7 → 5, 13 → 4, 17 → 12, 19 → 2, 23 → 7, 29 → 3). Take the last digit × the osculator and add it to the rest; repeat until the number is small and check the times table. Composite numbers: split into two factors that share no factor and pass BOTH rules — 6 = 2 × 3, 12 = 3 × 4, 15 = 3 × 5, 18 = 2 × 9, 20 = 4 × 5, 24 = 3 × 8, 30 = 3 × 10.

NameDateTime takenScore ___ / 40
  1. 1.Is 17545 divisible by 5?
  2. 2.Is 121086 divisible by 30?
  3. 3.Is 898 divisible by 6?
  4. 4.Is 24820 divisible by 8?
  5. 5.Is 1152 divisible by 8?
  6. 6.Is 12206 divisible by 3?
  7. 7.Is 94650 divisible by 29?
  8. 8.Is 110563 divisible by 30?
  9. 9.Is 82035 divisible by 13?
  10. 10.Is 14871 divisible by 9?
  11. 11.Is 4605 divisible by 2?
  12. 12.Is 14140 divisible by 20?
  13. 13.Is 62696 divisible by 17?
  14. 14.Is 54395 divisible by 13?
  15. 15.Is 329 divisible by 8?
  16. 16.Is 16464 divisible by 9?
  17. 17.Is 98051 divisible by 29?
  18. 18.Is 88401 divisible by 13?
  19. 19.Is 92544 divisible by 24?
  20. 20.Is 4896 divisible by 9?
  21. 21.Is 7524 divisible by 2?
  22. 22.Is 109037 divisible by 17?
  23. 23.Is 2601 divisible by 2?
  24. 24.Is 79419 divisible by 12?
  25. 25.Is 150302 divisible by 29?
  26. 26.Is 28612 divisible by 19?
  27. 27.Is 28560 divisible by 8?
  28. 28.Is 12462 divisible by 20?
  29. 29.Is 20206 divisible by 6?
  30. 30.Is 99312 divisible by 24?
  31. 31.Is 9970 divisible by 5?
  32. 32.Is 62172 divisible by 18?
  33. 33.Is 74758 divisible by 11?
  34. 34.Is 52370 divisible by 10?
  35. 35.Is 101216 divisible by 17?
  36. 36.Is 46284 divisible by 7?
  37. 37.Is 100200 divisible by 15?
  38. 38.Is 17892 divisible by 18?
  39. 39.Is 42455 divisible by 9?
  40. 40.Is 9614 divisible by 11?

Answer key

  1. yes
  2. no
  3. no
  4. no
  5. yes
  6. no
  7. no
  8. no
  9. no
  10. no
  11. no
  12. yes
  13. yes
  14. no
  15. no
  16. no
  17. no
  18. no
  19. yes
  20. yes
  21. yes
  22. no
  23. no
  24. no
  25. no
  26. no
  27. yes
  28. no
  29. no
  30. yes
  31. yes
  32. yes
  33. no
  34. yes
  35. no
  36. yes
  37. yes
  38. yes
  39. no
  40. yes

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