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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 566 · 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 19063 divisible by 3?
  2. 2.Is 105701 divisible by 17?
  3. 3.Is 112920 divisible by 20?
  4. 4.Is 48944 divisible by 19?
  5. 5.Is 2432 divisible by 4?
  6. 6.Is 13002 divisible by 4?
  7. 7.Is 6461 divisible by 5?
  8. 8.Is 15804 divisible by 18?
  9. 9.Is 20149 divisible by 4?
  10. 10.Is 8341 divisible by 2?
  11. 11.Is 941 divisible by 24?
  12. 12.Is 10270 divisible by 2?
  13. 13.Is 3260 divisible by 12?
  14. 14.Is 64201 divisible by 12?
  15. 15.Is 144960 divisible by 30?
  16. 16.Is 94624 divisible by 30?
  17. 17.Is 6420 divisible by 10?
  18. 18.Is 105 divisible by 7?
  19. 19.Is 68424 divisible by 19?
  20. 20.Is 6297 divisible by 3?
  21. 21.Is 3372 divisible by 2?
  22. 22.Is 6391 divisible by 2?
  23. 23.Is 19958 divisible by 17?
  24. 24.Is 16615 divisible by 5?
  25. 25.Is 40779 divisible by 6?
  26. 26.Is 60555 divisible by 15?
  27. 27.Is 73608 divisible by 12?
  28. 28.Is 59565 divisible by 15?
  29. 29.Is 2479 divisible by 4?
  30. 30.Is 4655 divisible by 20?
  31. 31.Is 49588 divisible by 23?
  32. 32.Is 10773 divisible by 19?
  33. 33.Is 48730 divisible by 10?
  34. 34.Is 3146 divisible by 13?
  35. 35.Is 2317 divisible by 5?
  36. 36.Is 3059 divisible by 7?
  37. 37.Is 28626 divisible by 5?
  38. 38.Is 16528 divisible by 8?
  39. 39.Is 5211 divisible by 7?
  40. 40.Is 60940 divisible by 11?

Answer key

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

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