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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 694 · 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 45291 divisible by 7?
  2. 2.Is 5893 divisible by 3?
  3. 3.Is 65270 divisible by 10?
  4. 4.Is 9091 divisible by 3?
  5. 5.Is 20290 divisible by 9?
  6. 6.Is 10979 divisible by 8?
  7. 7.Is 5083 divisible by 2?
  8. 8.Is 30118 divisible by 8?
  9. 9.Is 2324 divisible by 2?
  10. 10.Is 19096 divisible by 8?
  11. 11.Is 43328 divisible by 24?
  12. 12.Is 7187 divisible by 2?
  13. 13.Is 900 divisible by 6?
  14. 14.Is 62057 divisible by 20?
  15. 15.Is 20004 divisible by 12?
  16. 16.Is 53719 divisible by 8?
  17. 17.Is 57840 divisible by 20?
  18. 18.Is 197709 divisible by 30?
  19. 19.Is 14616 divisible by 3?
  20. 20.Is 43007 divisible by 29?
  21. 21.Is 4534 divisible by 2?
  22. 22.Is 30470 divisible by 5?
  23. 23.Is 60516 divisible by 9?
  24. 24.Is 785 divisible by 7?
  25. 25.Is 4619 divisible by 6?
  26. 26.Is 1578 divisible by 13?
  27. 27.Is 42590 divisible by 10?
  28. 28.Is 10907 divisible by 8?
  29. 29.Is 31383 divisible by 7?
  30. 30.Is 6784 divisible by 2?
  31. 31.Is 15171 divisible by 3?
  32. 32.Is 98569 divisible by 15?
  33. 33.Is 15016 divisible by 3?
  34. 34.Is 57226 divisible by 13?
  35. 35.Is 68160 divisible by 15?
  36. 36.Is 18453 divisible by 13?
  37. 37.Is 68856 divisible by 12?
  38. 38.Is 53546 divisible by 19?
  39. 39.Is 16442 divisible by 10?
  40. 40.Is 9555 divisible by 3?

Answer key

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

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