Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 94 · 40 questions

The method (Rules and powers): By 3 or 9: the digit sum divides by 3 or 9. By 4: the last two digits. By 8: the last three digits. By 6: even and divisible by 3. By 11: the sums of alternate digits are equal or differ by 11. Number of factors: write n = p^a × q^b …, then the count is (a + 1) × (b + 1) × …. To make n divisible by d: divide, then add (d − remainder) or take away the remainder.

1. 1.What is the smallest number you must take away from 605 so that it divides exactly by 7?
2. 2.What is the smallest number you must add to 932 so that it divides exactly by 11?
3. 3.How many factors does 61 have?
4. 4.How many factors does 99 have?
5. 5.Which of these numbers divides exactly by 8? (a) 2671 (b) 7520 (c) 9889 (d) 3348
6. 6.What is the smallest number you must add to 291 so that it divides exactly by 4?
7. 7.What is the smallest number you must take away from 570 so that it divides exactly by 13?
8. 8.What is the smallest number you must take away from 959 so that it divides exactly by 9?
9. 9.Which of these numbers divides exactly by 3? (a) 3053 (b) 4581 (c) 2759 (d) 6373
10. 10.How many factors does 86 have?
11. 11.What is the smallest number you must add to 306 so that it divides exactly by 11?
12. 12.What is the smallest number you must take away from 513 so that it divides exactly by 8?
13. 13.What is the smallest number you must take away from 873 so that it divides exactly by 6?
14. 14.What is the smallest number you must take away from 436 so that it divides exactly by 9?
15. 15.Which of these numbers divides exactly by 9? (a) 3505 (b) 6883 (c) 2043 (d) 6004
16. 16.Which of these numbers divides exactly by 9? (a) 4455 (b) 4550 (c) 7193 (d) 3532
17. 17.What is the smallest number you must take away from 822 so that it divides exactly by 13?
18. 18.What is the smallest number you must add to 541 so that it divides exactly by 8?
19. 19.What is the smallest number you must add to 215 so that it divides exactly by 9?
20. 20.Which of these numbers divides exactly by 8? (a) 5238 (b) 8389 (c) 1112 (d) 3931
21. 21.What is the smallest number you must add to 466 so that it divides exactly by 3?
22. 22.How many factors does 23 have?
23. 23.Which of these numbers divides exactly by 11? (a) 5229 (b) 1146 (c) 8275 (d) 7304
24. 24.Which of these numbers divides exactly by 3? (a) 9641 (b) 5524 (c) 1569 (d) 6902
25. 25.Which of these numbers divides exactly by 9? (a) 9626 (b) 3556 (c) 7653 (d) 1035
26. 26.How many factors does 69 have?
27. 27.How many factors does 59 have?
28. 28.How many factors does 95 have?
29. 29.What is the smallest number you must take away from 293 so that it divides exactly by 7?
30. 30.How many factors does 57 have?
31. 31.How many factors does 91 have?
32. 32.What is the smallest number you must take away from 726 so that it divides exactly by 12?
33. 33.Which of these numbers divides exactly by 8? (a) 3045 (b) 5037 (c) 3691 (d) 7064
34. 34.How many factors does 80 have?
35. 35.What is the smallest number you must take away from 449 so that it divides exactly by 4?
36. 36.What is the smallest number you must add to 143 so that it divides exactly by 4?
37. 37.What is the smallest number you must take away from 701 so that it divides exactly by 3?
38. 38.Which of these numbers divides exactly by 6? (a) 2515 (b) 6036 (c) 5506 (d) 9123
39. 39.What is the smallest number you must take away from 221 so that it divides exactly by 9?
40. 40.Which of these numbers divides exactly by 4? (a) 1859 (b) 3862 (c) 5339 (d) 6308

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude