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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 661 · 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 34601 divisible by 7?
  2. 2.Is 19840 divisible by 11?
  3. 3.Is 24462 divisible by 6?
  4. 4.Is 13211 divisible by 24?
  5. 5.Is 881 divisible by 2?
  6. 6.Is 87880 divisible by 20?
  7. 7.Is 27987 divisible by 23?
  8. 8.Is 130199 divisible by 29?
  9. 9.Is 71627 divisible by 20?
  10. 10.Is 8744 divisible by 3?
  11. 11.Is 25470 divisible by 10?
  12. 12.Is 28583 divisible by 8?
  13. 13.Is 32065 divisible by 5?
  14. 14.Is 20019 divisible by 4?
  15. 15.Is 12208 divisible by 24?
  16. 16.Is 6300 divisible by 5?
  17. 17.Is 10349 divisible by 13?
  18. 18.Is 74700 divisible by 23?
  19. 19.Is 651 divisible by 7?
  20. 20.Is 3543 divisible by 24?
  21. 21.Is 96764 divisible by 17?
  22. 22.Is 13488 divisible by 2?
  23. 23.Is 98642 divisible by 18?
  24. 24.Is 17182 divisible by 10?
  25. 25.Is 18808 divisible by 24?
  26. 26.Is 6776 divisible by 5?
  27. 27.Is 19091 divisible by 4?
  28. 28.Is 26070 divisible by 19?
  29. 29.Is 30811 divisible by 20?
  30. 30.Is 46952 divisible by 8?
  31. 31.Is 45082 divisible by 7?
  32. 32.Is 31901 divisible by 8?
  33. 33.Is 21289 divisible by 6?
  34. 34.Is 185127 divisible by 30?
  35. 35.Is 120518 divisible by 18?
  36. 36.Is 58302 divisible by 9?
  37. 37.Is 7689 divisible by 17?
  38. 38.Is 30119 divisible by 23?
  39. 39.Is 45063 divisible by 12?
  40. 40.Is 24275 divisible by 5?

Answer key

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

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