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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 922 · 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 11759 divisible by 11?
  2. 2.Is 11057 divisible by 7?
  3. 3.Is 13716 divisible by 18?
  4. 4.Is 35824 divisible by 8?
  5. 5.Is 97795 divisible by 30?
  6. 6.Is 3379 divisible by 6?
  7. 7.Is 1922 divisible by 4?
  8. 8.Is 123576 divisible by 24?
  9. 9.Is 12748 divisible by 5?
  10. 10.Is 1540 divisible by 2?
  11. 11.Is 21910 divisible by 4?
  12. 12.Is 3212 divisible by 11?
  13. 13.Is 83850 divisible by 30?
  14. 14.Is 659 divisible by 2?
  15. 15.Is 51028 divisible by 12?
  16. 16.Is 56215 divisible by 23?
  17. 17.Is 65952 divisible by 15?
  18. 18.Is 34220 divisible by 5?
  19. 19.Is 26360 divisible by 4?
  20. 20.Is 100456 divisible by 29?
  21. 21.Is 5525 divisible by 4?
  22. 22.Is 26955 divisible by 5?
  23. 23.Is 80535 divisible by 15?
  24. 24.Is 8943 divisible by 3?
  25. 25.Is 12470 divisible by 2?
  26. 26.Is 1991 divisible by 4?
  27. 27.Is 34704 divisible by 18?
  28. 28.Is 2138 divisible by 2?
  29. 29.Is 21053 divisible by 4?
  30. 30.Is 13802 divisible by 12?
  31. 31.Is 10638 divisible by 2?
  32. 32.Is 46676 divisible by 7?
  33. 33.Is 118058 divisible by 18?
  34. 34.Is 153963 divisible by 23?
  35. 35.Is 86827 divisible by 13?
  36. 36.Is 1299 divisible by 3?
  37. 37.Is 24048 divisible by 4?
  38. 38.Is 2733 divisible by 3?
  39. 39.Is 36975 divisible by 17?
  40. 40.Is 38936 divisible by 8?

Answer key

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

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