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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 570 · 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 4126 divisible by 3?
  2. 2.Is 80097 divisible by 24?
  3. 3.Is 11273 divisible by 9?
  4. 4.Is 19166 divisible by 7?
  5. 5.Is 44040 divisible by 15?
  6. 6.Is 36816 divisible by 7?
  7. 7.Is 66500 divisible by 13?
  8. 8.Is 11949 divisible by 8?
  9. 9.Is 25194 divisible by 13?
  10. 10.Is 3485 divisible by 9?
  11. 11.Is 16612 divisible by 4?
  12. 12.Is 5985 divisible by 19?
  13. 13.Is 37221 divisible by 9?
  14. 14.Is 23344 divisible by 24?
  15. 15.Is 93303 divisible by 18?
  16. 16.Is 29572 divisible by 19?
  17. 17.Is 24394 divisible by 4?
  18. 18.Is 9009 divisible by 7?
  19. 19.Is 23480 divisible by 20?
  20. 20.Is 10833 divisible by 3?
  21. 21.Is 23840 divisible by 20?
  22. 22.Is 114894 divisible by 18?
  23. 23.Is 56394 divisible by 18?
  24. 24.Is 91120 divisible by 20?
  25. 25.Is 15406 divisible by 7?
  26. 26.Is 6080 divisible by 6?
  27. 27.Is 102429 divisible by 19?
  28. 28.Is 43151 divisible by 8?
  29. 29.Is 31148 divisible by 7?
  30. 30.Is 3070 divisible by 10?
  31. 31.Is 25072 divisible by 4?
  32. 32.Is 69125 divisible by 12?
  33. 33.Is 28609 divisible by 12?
  34. 34.Is 90593 divisible by 17?
  35. 35.Is 43101 divisible by 10?
  36. 36.Is 11220 divisible by 2?
  37. 37.Is 603 divisible by 5?
  38. 38.Is 19457 divisible by 4?
  39. 39.Is 7420 divisible by 20?
  40. 40.Is 7704 divisible by 4?

Answer key

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

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