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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 400 · 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 19397 divisible by 7?
  2. 2.Is 11948 divisible by 4?
  3. 3.Is 15330 divisible by 10?
  4. 4.Is 1710 divisible by 19?
  5. 5.Is 32978 divisible by 24?
  6. 6.Is 20273 divisible by 3?
  7. 7.Is 36312 divisible by 24?
  8. 8.Is 6253 divisible by 10?
  9. 9.Is 100200 divisible by 24?
  10. 10.Is 36485 divisible by 29?
  11. 11.Is 65633 divisible by 13?
  12. 12.Is 26483 divisible by 18?
  13. 13.Is 88416 divisible by 18?
  14. 14.Is 5282 divisible by 19?
  15. 15.Is 53670 divisible by 30?
  16. 16.Is 41290 divisible by 12?
  17. 17.Is 14490 divisible by 7?
  18. 18.Is 48968 divisible by 10?
  19. 19.Is 3744 divisible by 12?
  20. 20.Is 6624 divisible by 18?
  21. 21.Is 82880 divisible by 20?
  22. 22.Is 29967 divisible by 7?
  23. 23.Is 160463 divisible by 23?
  24. 24.Is 12788 divisible by 11?
  25. 25.Is 9430 divisible by 23?
  26. 26.Is 16745 divisible by 5?
  27. 27.Is 5310 divisible by 5?
  28. 28.Is 23627 divisible by 4?
  29. 29.Is 2923 divisible by 2?
  30. 30.Is 15865 divisible by 5?
  31. 31.Is 11588 divisible by 4?
  32. 32.Is 29460 divisible by 24?
  33. 33.Is 36241 divisible by 12?
  34. 34.Is 1804 divisible by 7?
  35. 35.Is 71960 divisible by 20?
  36. 36.Is 17740 divisible by 10?
  37. 37.Is 7344 divisible by 8?
  38. 38.Is 10335 divisible by 3?
  39. 39.Is 32161 divisible by 24?
  40. 40.Is 150977 divisible by 29?

Answer key

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

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