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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 850 · 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 30305 divisible by 6?
  2. 2.Is 2033 divisible by 2?
  3. 3.Is 101973 divisible by 19?
  4. 4.Is 6334 divisible by 2?
  5. 5.Is 3168 divisible by 7?
  6. 6.Is 14172 divisible by 5?
  7. 7.Is 99608 divisible by 30?
  8. 8.Is 42851 divisible by 8?
  9. 9.Is 13629 divisible by 4?
  10. 10.Is 34996 divisible by 13?
  11. 11.Is 63111 divisible by 15?
  12. 12.Is 107242 divisible by 29?
  13. 13.Is 7327 divisible by 11?
  14. 14.Is 59446 divisible by 20?
  15. 15.Is 10655 divisible by 3?
  16. 16.Is 6327 divisible by 19?
  17. 17.Is 19287 divisible by 13?
  18. 18.Is 83668 divisible by 19?
  19. 19.Is 50198 divisible by 19?
  20. 20.Is 15800 divisible by 12?
  21. 21.Is 499 divisible by 12?
  22. 22.Is 3808 divisible by 17?
  23. 23.Is 40740 divisible by 10?
  24. 24.Is 27846 divisible by 17?
  25. 25.Is 28455 divisible by 11?
  26. 26.Is 22515 divisible by 11?
  27. 27.Is 36090 divisible by 30?
  28. 28.Is 8659 divisible by 13?
  29. 29.Is 70120 divisible by 20?
  30. 30.Is 40236 divisible by 19?
  31. 31.Is 121681 divisible by 18?
  32. 32.Is 37335 divisible by 19?
  33. 33.Is 13379 divisible by 3?
  34. 34.Is 72822 divisible by 24?
  35. 35.Is 45720 divisible by 18?
  36. 36.Is 140521 divisible by 24?
  37. 37.Is 93754 divisible by 23?
  38. 38.Is 24708 divisible by 4?
  39. 39.Is 42826 divisible by 8?
  40. 40.Is 935 divisible by 17?

Answer key

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

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