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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 185 · 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 36201 divisible by 18?
  2. 2.Is 19398 divisible by 3?
  3. 3.Is 11976 divisible by 19?
  4. 4.Is 29110 divisible by 5?
  5. 5.Is 62392 divisible by 10?
  6. 6.Is 32830 divisible by 18?
  7. 7.Is 22563 divisible by 29?
  8. 8.Is 1096 divisible by 13?
  9. 9.Is 1651 divisible by 8?
  10. 10.Is 21050 divisible by 5?
  11. 11.Is 11615 divisible by 2?
  12. 12.Is 12108 divisible by 23?
  13. 13.Is 20851 divisible by 6?
  14. 14.Is 56684 divisible by 12?
  15. 15.Is 9369 divisible by 2?
  16. 16.Is 125823 divisible by 18?
  17. 17.Is 85541 divisible by 13?
  18. 18.Is 12300 divisible by 12?
  19. 19.Is 1449 divisible by 7?
  20. 20.Is 8939 divisible by 7?
  21. 21.Is 19365 divisible by 7?
  22. 22.Is 139068 divisible by 24?
  23. 23.Is 34309 divisible by 8?
  24. 24.Is 8335 divisible by 3?
  25. 25.Is 8790 divisible by 5?
  26. 26.Is 46092 divisible by 7?
  27. 27.Is 2527 divisible by 7?
  28. 28.Is 61392 divisible by 20?
  29. 29.Is 10508 divisible by 11?
  30. 30.Is 1529 divisible by 5?
  31. 31.Is 83340 divisible by 18?
  32. 32.Is 58140 divisible by 30?
  33. 33.Is 61920 divisible by 12?
  34. 34.Is 6525 divisible by 9?
  35. 35.Is 75568 divisible by 15?
  36. 36.Is 43552 divisible by 18?
  37. 37.Is 19981 divisible by 29?
  38. 38.Is 80223 divisible by 13?
  39. 39.Is 62600 divisible by 10?
  40. 40.Is 3462 divisible by 13?

Answer key

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

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