Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 88 · 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 638 so that it divides exactly by 4?
2. 2.What is the smallest number you must take away from 880 so that it divides exactly by 13?
3. 3.How many factors does 75 have?
4. 4.How many factors does 89 have?
5. 5.How many factors does 83 have?
6. 6.What is the smallest number you must take away from 584 so that it divides exactly by 13?
7. 7.What is the smallest number you must add to 966 so that it divides exactly by 4?
8. 8.What is the smallest number you must take away from 952 so that it divides exactly by 11?
9. 9.Which of these numbers divides exactly by 9? (a) 9500 (b) 6912 (c) 4993 (d) 1649
10. 10.What is the smallest number you must take away from 342 so that it divides exactly by 11?
11. 11.What is the smallest number you must take away from 498 so that it divides exactly by 12?
12. 12.What is the smallest number you must add to 897 so that it divides exactly by 12?
13. 13.What is the smallest number you must add to 194 so that it divides exactly by 13?
14. 14.What is the smallest number you must add to 829 so that it divides exactly by 4?
15. 15.What is the smallest number you must take away from 451 so that it divides exactly by 12?
16. 16.Which of these numbers divides exactly by 4? (a) 1421 (b) 9758 (c) 6096 (d) 4842
17. 17.How many factors does 45 have?
18. 18.What is the smallest number you must take away from 804 so that it divides exactly by 9?
19. 19.What is the smallest number you must add to 875 so that it divides exactly by 4?
20. 20.Which of these numbers divides exactly by 6? (a) 3229 (b) 4945 (c) 5623 (d) 6168
21. 21.What is the smallest number you must take away from 785 so that it divides exactly by 13?
22. 22.Which of these numbers divides exactly by 6? (a) 1135 (b) 8438 (c) 3618 (d) 3529
23. 23.Which of these numbers divides exactly by 8? (a) 6866 (b) 3208 (c) 2487 (d) 9690
24. 24.Which of these numbers divides exactly by 3? (a) 2989 (b) 9047 (c) 8824 (d) 7620
25. 25.What is the smallest number you must take away from 748 so that it divides exactly by 6?
26. 26.How many factors does 65 have?
27. 27.What is the smallest number you must take away from 515 so that it divides exactly by 8?
28. 28.What is the smallest number you must take away from 381 so that it divides exactly by 11?
29. 29.What is the smallest number you must add to 280 so that it divides exactly by 3?
30. 30.Which of these numbers divides exactly by 4? (a) 4516 (b) 3503 (c) 1161 (d) 3502
31. 31.What is the smallest number you must take away from 974 so that it divides exactly by 4?
32. 32.Which of these numbers divides exactly by 4? (a) 6542 (b) 9430 (c) 5603 (d) 1764
33. 33.What is the smallest number you must add to 409 so that it divides exactly by 3?
34. 34.How many factors does 32 have?
35. 35.What is the smallest number you must add to 972 so that it divides exactly by 8?
36. 36.Which of these numbers divides exactly by 3? (a) 4111 (b) 9099 (c) 3602 (d) 1586
37. 37.Which of these numbers divides exactly by 6? (a) 2318 (b) 5268 (c) 3287 (d) 4490
38. 38.Which of these numbers divides exactly by 9? (a) 6894 (b) 1509 (c) 1487 (d) 8354
39. 39.What is the smallest number you must take away from 357 so that it divides exactly by 9?
40. 40.What is the smallest number you must add to 798 so that it divides exactly by 12?

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