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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 86 · 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 4750 divisible by 4?
  2. 2.Is 47592 divisible by 9?
  3. 3.Is 106710 divisible by 30?
  4. 4.Is 55658 divisible by 9?
  5. 5.Is 190542 divisible by 30?
  6. 6.Is 6526 divisible by 11?
  7. 7.Is 167310 divisible by 30?
  8. 8.Is 47993 divisible by 11?
  9. 9.Is 55803 divisible by 11?
  10. 10.Is 72430 divisible by 23?
  11. 11.Is 8983 divisible by 13?
  12. 12.Is 3258 divisible by 2?
  13. 13.Is 36425 divisible by 30?
  14. 14.Is 48099 divisible by 19?
  15. 15.Is 20214 divisible by 8?
  16. 16.Is 9912 divisible by 24?
  17. 17.Is 39004 divisible by 23?
  18. 18.Is 8475 divisible by 4?
  19. 19.Is 853 divisible by 9?
  20. 20.Is 11790 divisible by 30?
  21. 21.Is 197824 divisible by 29?
  22. 22.Is 58964 divisible by 11?
  23. 23.Is 13761 divisible by 3?
  24. 24.Is 24779 divisible by 20?
  25. 25.Is 18688 divisible by 23?
  26. 26.Is 2271 divisible by 6?
  27. 27.Is 21440 divisible by 20?
  28. 28.Is 61260 divisible by 9?
  29. 29.Is 53739 divisible by 9?
  30. 30.Is 113122 divisible by 20?
  31. 31.Is 70356 divisible by 13?
  32. 32.Is 13273 divisible by 13?
  33. 33.Is 17487 divisible by 3?
  34. 34.Is 32230 divisible by 11?
  35. 35.Is 94308 divisible by 15?
  36. 36.Is 19266 divisible by 13?
  37. 37.Is 73625 divisible by 19?
  38. 38.Is 41712 divisible by 24?
  39. 39.Is 61722 divisible by 20?
  40. 40.Is 19188 divisible by 9?

Answer key

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

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