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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 63 · 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 1365 divisible by 5?
  2. 2.Is 2241 divisible by 4?
  3. 3.Is 17268 divisible by 19?
  4. 4.Is 8956 divisible by 9?
  5. 5.Is 26848 divisible by 7?
  6. 6.Is 74666 divisible by 15?
  7. 7.Is 26699 divisible by 17?
  8. 8.Is 34152 divisible by 24?
  9. 9.Is 522 divisible by 29?
  10. 10.Is 11120 divisible by 5?
  11. 11.Is 81242 divisible by 20?
  12. 12.Is 38196 divisible by 18?
  13. 13.Is 1102 divisible by 29?
  14. 14.Is 85357 divisible by 30?
  15. 15.Is 69696 divisible by 18?
  16. 16.Is 570 divisible by 30?
  17. 17.Is 40104 divisible by 18?
  18. 18.Is 31953 divisible by 10?
  19. 19.Is 41239 divisible by 11?
  20. 20.Is 2377 divisible by 29?
  21. 21.Is 3373 divisible by 19?
  22. 22.Is 2770 divisible by 2?
  23. 23.Is 46391 divisible by 12?
  24. 24.Is 43377 divisible by 19?
  25. 25.Is 23139 divisible by 12?
  26. 26.Is 6839 divisible by 7?
  27. 27.Is 84800 divisible by 20?
  28. 28.Is 62054 divisible by 15?
  29. 29.Is 2465 divisible by 17?
  30. 30.Is 33484 divisible by 9?
  31. 31.Is 20900 divisible by 11?
  32. 32.Is 125058 divisible by 29?
  33. 33.Is 126984 divisible by 24?
  34. 34.Is 159351 divisible by 30?
  35. 35.Is 53102 divisible by 29?
  36. 36.Is 1615 divisible by 2?
  37. 37.Is 65331 divisible by 11?
  38. 38.Is 9787 divisible by 11?
  39. 39.Is 39238 divisible by 15?
  40. 40.Is 152599 divisible by 30?

Answer key

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

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