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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 210 · 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 127940 divisible by 20?
  2. 2.Is 71879 divisible by 12?
  3. 3.Is 99262 divisible by 15?
  4. 4.Is 12722 divisible by 4?
  5. 5.Is 73916 divisible by 15?
  6. 6.Is 17120 divisible by 5?
  7. 7.Is 4382 divisible by 3?
  8. 8.Is 7870 divisible by 5?
  9. 9.Is 2136 divisible by 4?
  10. 10.Is 43764 divisible by 23?
  11. 11.Is 13610 divisible by 4?
  12. 12.Is 84150 divisible by 30?
  13. 13.Is 26984 divisible by 8?
  14. 14.Is 38856 divisible by 6?
  15. 15.Is 14208 divisible by 4?
  16. 16.Is 24458 divisible by 7?
  17. 17.Is 27216 divisible by 24?
  18. 18.Is 27398 divisible by 19?
  19. 19.Is 11422 divisible by 2?
  20. 20.Is 70829 divisible by 11?
  21. 21.Is 55665 divisible by 15?
  22. 22.Is 70470 divisible by 18?
  23. 23.Is 37660 divisible by 6?
  24. 24.Is 72821 divisible by 11?
  25. 25.Is 5610 divisible by 2?
  26. 26.Is 22329 divisible by 12?
  27. 27.Is 1751 divisible by 3?
  28. 28.Is 18689 divisible by 4?
  29. 29.Is 15870 divisible by 23?
  30. 30.Is 50208 divisible by 24?
  31. 31.Is 9599 divisible by 29?
  32. 32.Is 174017 divisible by 29?
  33. 33.Is 11942 divisible by 7?
  34. 34.Is 13853 divisible by 7?
  35. 35.Is 4978 divisible by 5?
  36. 36.Is 407 divisible by 11?
  37. 37.Is 53499 divisible by 17?
  38. 38.Is 16372 divisible by 4?
  39. 39.Is 68253 divisible by 17?
  40. 40.Is 72947 divisible by 17?

Answer key

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

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