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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 64 · 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 26245 divisible by 5?
  2. 2.Is 14104 divisible by 3?
  3. 3.Is 30226 divisible by 20?
  4. 4.Is 37413 divisible by 9?
  5. 5.Is 15253 divisible by 4?
  6. 6.Is 13833 divisible by 2?
  7. 7.Is 22640 divisible by 4?
  8. 8.Is 5640 divisible by 5?
  9. 9.Is 11132 divisible by 18?
  10. 10.Is 36043 divisible by 19?
  11. 11.Is 24860 divisible by 20?
  12. 12.Is 24870 divisible by 15?
  13. 13.Is 16248 divisible by 8?
  14. 14.Is 5562 divisible by 9?
  15. 15.Is 55848 divisible by 24?
  16. 16.Is 61160 divisible by 10?
  17. 17.Is 97795 divisible by 15?
  18. 18.Is 103979 divisible by 19?
  19. 19.Is 26943 divisible by 4?
  20. 20.Is 48480 divisible by 20?
  21. 21.Is 114920 divisible by 20?
  22. 22.Is 11400 divisible by 12?
  23. 23.Is 97530 divisible by 15?
  24. 24.Is 70983 divisible by 11?
  25. 25.Is 12284 divisible by 3?
  26. 26.Is 4680 divisible by 8?
  27. 27.Is 3103 divisible by 29?
  28. 28.Is 5490 divisible by 30?
  29. 29.Is 38770 divisible by 8?
  30. 30.Is 7680 divisible by 4?
  31. 31.Is 30373 divisible by 7?
  32. 32.Is 22670 divisible by 5?
  33. 33.Is 50336 divisible by 11?
  34. 34.Is 81060 divisible by 12?
  35. 35.Is 137333 divisible by 23?
  36. 36.Is 4966 divisible by 4?
  37. 37.Is 82628 divisible by 13?
  38. 38.Is 8810 divisible by 2?
  39. 39.Is 9461 divisible by 17?
  40. 40.Is 13816 divisible by 8?

Answer key

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

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