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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 188 · 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 420 divisible by 12?
  2. 2.Is 100539 divisible by 19?
  3. 3.Is 19318 divisible by 10?
  4. 4.Is 138052 divisible by 20?
  5. 5.Is 200070 divisible by 30?
  6. 6.Is 7121 divisible by 2?
  7. 7.Is 5922 divisible by 2?
  8. 8.Is 940 divisible by 20?
  9. 9.Is 28501 divisible by 30?
  10. 10.Is 4410 divisible by 6?
  11. 11.Is 528 divisible by 11?
  12. 12.Is 133740 divisible by 30?
  13. 13.Is 39116 divisible by 7?
  14. 14.Is 68129 divisible by 13?
  15. 15.Is 56640 divisible by 15?
  16. 16.Is 24273 divisible by 6?
  17. 17.Is 27408 divisible by 5?
  18. 18.Is 4213 divisible by 4?
  19. 19.Is 23220 divisible by 9?
  20. 20.Is 72328 divisible by 29?
  21. 21.Is 10878 divisible by 6?
  22. 22.Is 50208 divisible by 24?
  23. 23.Is 60592 divisible by 13?
  24. 24.Is 15528 divisible by 8?
  25. 25.Is 11384 divisible by 8?
  26. 26.Is 40593 divisible by 7?
  27. 27.Is 64774 divisible by 17?
  28. 28.Is 69510 divisible by 30?
  29. 29.Is 41239 divisible by 23?
  30. 30.Is 74233 divisible by 13?
  31. 31.Is 3390 divisible by 3?
  32. 32.Is 5353 divisible by 2?
  33. 33.Is 37870 divisible by 7?
  34. 34.Is 14799 divisible by 3?
  35. 35.Is 2148 divisible by 2?
  36. 36.Is 471 divisible by 4?
  37. 37.Is 19431 divisible by 9?
  38. 38.Is 56430 divisible by 15?
  39. 39.Is 2217 divisible by 5?
  40. 40.Is 37734 divisible by 6?

Answer key

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

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