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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 539 · 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 97335 divisible by 15?
  2. 2.Is 1589 divisible by 3?
  3. 3.Is 66196 divisible by 13?
  4. 4.Is 9295 divisible by 13?
  5. 5.Is 43938 divisible by 7?
  6. 6.Is 3448 divisible by 17?
  7. 7.Is 20110 divisible by 24?
  8. 8.Is 34300 divisible by 6?
  9. 9.Is 18001 divisible by 10?
  10. 10.Is 79446 divisible by 30?
  11. 11.Is 70984 divisible by 17?
  12. 12.Is 5394 divisible by 4?
  13. 13.Is 1843 divisible by 2?
  14. 14.Is 14022 divisible by 19?
  15. 15.Is 125251 divisible by 29?
  16. 16.Is 5692 divisible by 4?
  17. 17.Is 47662 divisible by 12?
  18. 18.Is 76324 divisible by 23?
  19. 19.Is 3443 divisible by 2?
  20. 20.Is 47593 divisible by 7?
  21. 21.Is 14468 divisible by 3?
  22. 22.Is 15219 divisible by 9?
  23. 23.Is 75419 divisible by 12?
  24. 24.Is 8844 divisible by 10?
  25. 25.Is 130558 divisible by 29?
  26. 26.Is 5882 divisible by 4?
  27. 27.Is 15832 divisible by 6?
  28. 28.Is 3182 divisible by 5?
  29. 29.Is 80414 divisible by 20?
  30. 30.Is 10692 divisible by 6?
  31. 31.Is 20885 divisible by 24?
  32. 32.Is 59949 divisible by 17?
  33. 33.Is 101310 divisible by 20?
  34. 34.Is 7169 divisible by 6?
  35. 35.Is 138820 divisible by 20?
  36. 36.Is 13498 divisible by 2?
  37. 37.Is 76245 divisible by 18?
  38. 38.Is 2376 divisible by 4?
  39. 39.Is 79380 divisible by 20?
  40. 40.Is 47628 divisible by 12?

Answer key

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

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