← Divisibility tests lesson New set →

Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 576 · 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 3325 divisible by 7?
  2. 2.Is 48354 divisible by 29?
  3. 3.Is 43448 divisible by 8?
  4. 4.Is 64008 divisible by 13?
  5. 5.Is 14874 divisible by 3?
  6. 6.Is 10040 divisible by 2?
  7. 7.Is 9312 divisible by 7?
  8. 8.Is 2367 divisible by 2?
  9. 9.Is 29898 divisible by 9?
  10. 10.Is 26970 divisible by 30?
  11. 11.Is 57642 divisible by 9?
  12. 12.Is 10060 divisible by 3?
  13. 13.Is 108199 divisible by 29?
  14. 14.Is 35710 divisible by 30?
  15. 15.Is 10612 divisible by 10?
  16. 16.Is 57358 divisible by 17?
  17. 17.Is 62530 divisible by 12?
  18. 18.Is 14830 divisible by 4?
  19. 19.Is 20841 divisible by 5?
  20. 20.Is 41324 divisible by 8?
  21. 21.Is 30955 divisible by 5?
  22. 22.Is 10120 divisible by 8?
  23. 23.Is 12426 divisible by 2?
  24. 24.Is 34218 divisible by 6?
  25. 25.Is 8228 divisible by 15?
  26. 26.Is 8370 divisible by 8?
  27. 27.Is 102930 divisible by 30?
  28. 28.Is 27558 divisible by 11?
  29. 29.Is 12294 divisible by 3?
  30. 30.Is 68991 divisible by 29?
  31. 31.Is 4214 divisible by 7?
  32. 32.Is 41818 divisible by 7?
  33. 33.Is 65955 divisible by 18?
  34. 34.Is 17852 divisible by 4?
  35. 35.Is 49800 divisible by 10?
  36. 36.Is 10953 divisible by 3?
  37. 37.Is 10632 divisible by 12?
  38. 38.Is 12987 divisible by 13?
  39. 39.Is 13147 divisible by 4?
  40. 40.Is 11508 divisible by 7?

Answer key

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

Free vedic maths lessons, practice and worksheets at talentjr.in/vedic-maths