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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 805 · 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 70896 divisible by 12?
  2. 2.Is 44008 divisible by 9?
  3. 3.Is 22608 divisible by 9?
  4. 4.Is 35684 divisible by 11?
  5. 5.Is 11074 divisible by 11?
  6. 6.Is 13788 divisible by 12?
  7. 7.Is 3195 divisible by 6?
  8. 8.Is 30069 divisible by 9?
  9. 9.Is 100624 divisible by 20?
  10. 10.Is 38080 divisible by 17?
  11. 11.Is 19420 divisible by 3?
  12. 12.Is 51886 divisible by 18?
  13. 13.Is 13628 divisible by 30?
  14. 14.Is 35195 divisible by 7?
  15. 15.Is 7856 divisible by 2?
  16. 16.Is 32433 divisible by 11?
  17. 17.Is 913 divisible by 2?
  18. 18.Is 60336 divisible by 18?
  19. 19.Is 114985 divisible by 29?
  20. 20.Is 2368 divisible by 8?
  21. 21.Is 2310 divisible by 2?
  22. 22.Is 4191 divisible by 12?
  23. 23.Is 32940 divisible by 15?
  24. 24.Is 14267 divisible by 20?
  25. 25.Is 5400 divisible by 6?
  26. 26.Is 3609 divisible by 11?
  27. 27.Is 92394 divisible by 18?
  28. 28.Is 3300 divisible by 6?
  29. 29.Is 181848 divisible by 30?
  30. 30.Is 23300 divisible by 18?
  31. 31.Is 121632 divisible by 23?
  32. 32.Is 30215 divisible by 9?
  33. 33.Is 5377 divisible by 4?
  34. 34.Is 52808 divisible by 8?
  35. 35.Is 7944 divisible by 8?
  36. 36.Is 162720 divisible by 24?
  37. 37.Is 135002 divisible by 29?
  38. 38.Is 1968 divisible by 24?
  39. 39.Is 27783 divisible by 10?
  40. 40.Is 14400 divisible by 18?

Answer key

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

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