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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 720 · 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 129064 divisible by 24?
  2. 2.Is 23200 divisible by 4?
  3. 3.Is 21810 divisible by 13?
  4. 4.Is 157601 divisible by 29?
  5. 5.Is 23754 divisible by 6?
  6. 6.Is 28097 divisible by 10?
  7. 7.Is 81459 divisible by 18?
  8. 8.Is 111757 divisible by 18?
  9. 9.Is 4080 divisible by 10?
  10. 10.Is 27202 divisible by 11?
  11. 11.Is 10197 divisible by 8?
  12. 12.Is 6787 divisible by 2?
  13. 13.Is 3713 divisible by 15?
  14. 14.Is 52853 divisible by 17?
  15. 15.Is 7630 divisible by 10?
  16. 16.Is 46650 divisible by 10?
  17. 17.Is 31810 divisible by 8?
  18. 18.Is 13708 divisible by 2?
  19. 19.Is 54820 divisible by 11?
  20. 20.Is 83801 divisible by 30?
  21. 21.Is 2394 divisible by 15?
  22. 22.Is 2075 divisible by 6?
  23. 23.Is 5006 divisible by 13?
  24. 24.Is 57515 divisible by 20?
  25. 25.Is 53599 divisible by 19?
  26. 26.Is 46132 divisible by 11?
  27. 27.Is 22392 divisible by 8?
  28. 28.Is 51727 divisible by 13?
  29. 29.Is 37523 divisible by 12?
  30. 30.Is 169766 divisible by 29?
  31. 31.Is 4828 divisible by 17?
  32. 32.Is 14100 divisible by 15?
  33. 33.Is 23154 divisible by 5?
  34. 34.Is 87683 divisible by 18?
  35. 35.Is 19484 divisible by 4?
  36. 36.Is 41030 divisible by 10?
  37. 37.Is 9157 divisible by 7?
  38. 38.Is 25460 divisible by 23?
  39. 39.Is 10695 divisible by 15?
  40. 40.Is 20946 divisible by 3?

Answer key

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

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