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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 536 · 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 6343 divisible by 8?
  2. 2.Is 29145 divisible by 29?
  3. 3.Is 20149 divisible by 29?
  4. 4.Is 45274 divisible by 10?
  5. 5.Is 3646 divisible by 2?
  6. 6.Is 10980 divisible by 20?
  7. 7.Is 37836 divisible by 7?
  8. 8.Is 120258 divisible by 18?
  9. 9.Is 1974 divisible by 9?
  10. 10.Is 36564 divisible by 6?
  11. 11.Is 20300 divisible by 5?
  12. 12.Is 73508 divisible by 23?
  13. 13.Is 32816 divisible by 6?
  14. 14.Is 101230 divisible by 18?
  15. 15.Is 36722 divisible by 24?
  16. 16.Is 9001 divisible by 5?
  17. 17.Is 33627 divisible by 11?
  18. 18.Is 29080 divisible by 8?
  19. 19.Is 408 divisible by 17?
  20. 20.Is 40024 divisible by 9?
  21. 21.Is 34740 divisible by 20?
  22. 22.Is 76221 divisible by 13?
  23. 23.Is 2302 divisible by 4?
  24. 24.Is 18544 divisible by 8?
  25. 25.Is 66151 divisible by 13?
  26. 26.Is 52458 divisible by 11?
  27. 27.Is 4330 divisible by 10?
  28. 28.Is 53432 divisible by 11?
  29. 29.Is 16849 divisible by 29?
  30. 30.Is 10870 divisible by 10?
  31. 31.Is 45527 divisible by 9?
  32. 32.Is 50806 divisible by 19?
  33. 33.Is 49433 divisible by 29?
  34. 34.Is 42398 divisible by 29?
  35. 35.Is 29463 divisible by 23?
  36. 36.Is 95942 divisible by 29?
  37. 37.Is 68355 divisible by 24?
  38. 38.Is 29592 divisible by 9?
  39. 39.Is 4872 divisible by 24?
  40. 40.Is 13374 divisible by 3?

Answer key

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

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