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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 820 · 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 220 divisible by 10?
  2. 2.Is 10483 divisible by 30?
  3. 3.Is 24065 divisible by 10?
  4. 4.Is 12487 divisible by 2?
  5. 5.Is 53775 divisible by 9?
  6. 6.Is 20759 divisible by 7?
  7. 7.Is 35676 divisible by 18?
  8. 8.Is 14896 divisible by 5?
  9. 9.Is 23408 divisible by 4?
  10. 10.Is 49776 divisible by 17?
  11. 11.Is 32793 divisible by 12?
  12. 12.Is 89784 divisible by 24?
  13. 13.Is 39939 divisible by 9?
  14. 14.Is 5260 divisible by 7?
  15. 15.Is 3064 divisible by 5?
  16. 16.Is 149330 divisible by 23?
  17. 17.Is 29286 divisible by 9?
  18. 18.Is 9877 divisible by 3?
  19. 19.Is 10061 divisible by 11?
  20. 20.Is 158952 divisible by 24?
  21. 21.Is 2282 divisible by 4?
  22. 22.Is 41991 divisible by 10?
  23. 23.Is 46629 divisible by 7?
  24. 24.Is 63707 divisible by 19?
  25. 25.Is 16594 divisible by 3?
  26. 26.Is 90240 divisible by 24?
  27. 27.Is 1922 divisible by 2?
  28. 28.Is 37555 divisible by 7?
  29. 29.Is 26187 divisible by 4?
  30. 30.Is 11481 divisible by 3?
  31. 31.Is 7648 divisible by 2?
  32. 32.Is 35280 divisible by 8?
  33. 33.Is 1454 divisible by 2?
  34. 34.Is 2763 divisible by 2?
  35. 35.Is 6474 divisible by 13?
  36. 36.Is 43769 divisible by 11?
  37. 37.Is 7331 divisible by 2?
  38. 38.Is 50451 divisible by 8?
  39. 39.Is 45007 divisible by 23?
  40. 40.Is 4278 divisible by 2?

Answer key

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

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