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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 761 · 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 125235 divisible by 24?
  2. 2.Is 12805 divisible by 2?
  3. 3.Is 48469 divisible by 19?
  4. 4.Is 18570 divisible by 30?
  5. 5.Is 108920 divisible by 18?
  6. 6.Is 115014 divisible by 29?
  7. 7.Is 104947 divisible by 17?
  8. 8.Is 103104 divisible by 18?
  9. 9.Is 578 divisible by 19?
  10. 10.Is 61828 divisible by 10?
  11. 11.Is 43946 divisible by 7?
  12. 12.Is 27028 divisible by 24?
  13. 13.Is 106969 divisible by 19?
  14. 14.Is 15258 divisible by 6?
  15. 15.Is 24824 divisible by 29?
  16. 16.Is 17999 divisible by 4?
  17. 17.Is 53088 divisible by 24?
  18. 18.Is 20119 divisible by 4?
  19. 19.Is 51840 divisible by 20?
  20. 20.Is 86518 divisible by 15?
  21. 21.Is 11887 divisible by 9?
  22. 22.Is 1710 divisible by 2?
  23. 23.Is 12795 divisible by 8?
  24. 24.Is 26300 divisible by 8?
  25. 25.Is 66312 divisible by 12?
  26. 26.Is 2954 divisible by 2?
  27. 27.Is 3406 divisible by 9?
  28. 28.Is 187502 divisible by 29?
  29. 29.Is 6892 divisible by 5?
  30. 30.Is 77850 divisible by 18?
  31. 31.Is 15515 divisible by 9?
  32. 32.Is 42967 divisible by 9?
  33. 33.Is 13591 divisible by 4?
  34. 34.Is 32543 divisible by 10?
  35. 35.Is 6153 divisible by 7?
  36. 36.Is 17340 divisible by 10?
  37. 37.Is 8815 divisible by 2?
  38. 38.Is 44945 divisible by 20?
  39. 39.Is 45074 divisible by 8?
  40. 40.Is 8463 divisible by 5?

Answer key

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

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