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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 990 · 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 39631 divisible by 10?
  2. 2.Is 24756 divisible by 6?
  3. 3.Is 108920 divisible by 20?
  4. 4.Is 24984 divisible by 6?
  5. 5.Is 62854 divisible by 9?
  6. 6.Is 53190 divisible by 12?
  7. 7.Is 2420 divisible by 20?
  8. 8.Is 42275 divisible by 19?
  9. 9.Is 8608 divisible by 2?
  10. 10.Is 12606 divisible by 6?
  11. 11.Is 90620 divisible by 30?
  12. 12.Is 14594 divisible by 3?
  13. 13.Is 67475 divisible by 30?
  14. 14.Is 35986 divisible by 6?
  15. 15.Is 48325 divisible by 10?
  16. 16.Is 48300 divisible by 10?
  17. 17.Is 23828 divisible by 6?
  18. 18.Is 53829 divisible by 12?
  19. 19.Is 7281 divisible by 9?
  20. 20.Is 12224 divisible by 4?
  21. 21.Is 92148 divisible by 20?
  22. 22.Is 112888 divisible by 17?
  23. 23.Is 9939 divisible by 2?
  24. 24.Is 95478 divisible by 19?
  25. 25.Is 44590 divisible by 8?
  26. 26.Is 27354 divisible by 5?
  27. 27.Is 80144 divisible by 30?
  28. 28.Is 74860 divisible by 20?
  29. 29.Is 68549 divisible by 18?
  30. 30.Is 1896 divisible by 3?
  31. 31.Is 114109 divisible by 20?
  32. 32.Is 33922 divisible by 6?
  33. 33.Is 27188 divisible by 4?
  34. 34.Is 183541 divisible by 29?
  35. 35.Is 30221 divisible by 19?
  36. 36.Is 36000 divisible by 18?
  37. 37.Is 1474 divisible by 11?
  38. 38.Is 64860 divisible by 10?
  39. 39.Is 18359 divisible by 11?
  40. 40.Is 3204 divisible by 5?

Answer key

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

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