Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 308 · 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.Which of these numbers divides exactly by 11? (a) 9837 (b) 5646 (c) 5379 (d) 7268
2. 2.Which of these numbers divides exactly by 3? (a) 5224 (b) 2934 (c) 2414 (d) 5947
3. 3.What is the smallest number you must add to 628 so that it divides exactly by 3?
4. 4.What is the smallest number you must take away from 731 so that it divides exactly by 11?
5. 5.Which of these numbers divides exactly by 6? (a) 1194 (b) 8935 (c) 7657 (d) 5123
6. 6.How many factors does 65 have?
7. 7.What is the smallest number you must take away from 112 so that it divides exactly by 3?
8. 8.What is the smallest number you must take away from 444 so that it divides exactly by 13?
9. 9.Which of these numbers divides exactly by 6? (a) 3361 (b) 3211 (c) 3072 (d) 4719
10. 10.How many factors does 79 have?
11. 11.How many factors does 77 have?
12. 12.How many factors does 82 have?
13. 13.Which of these numbers divides exactly by 9? (a) 2383 (b) 5815 (c) 3107 (d) 6651
14. 14.How many factors does 88 have?
15. 15.How many factors does 39 have?
16. 16.What is the smallest number you must add to 430 so that it divides exactly by 12?
17. 17.How many factors does 28 have?
18. 18.How many factors does 16 have?
19. 19.What is the smallest number you must add to 611 so that it divides exactly by 12?
20. 20.What is the smallest number you must add to 184 so that it divides exactly by 12?
21. 21.Which of these numbers divides exactly by 9? (a) 2039 (b) 6426 (c) 3626 (d) 5665
22. 22.What is the smallest number you must take away from 337 so that it divides exactly by 7?
23. 23.What is the smallest number you must take away from 463 so that it divides exactly by 13?
24. 24.Which of these numbers divides exactly by 8? (a) 9248 (b) 4111 (c) 5239 (d) 5086
25. 25.What is the smallest number you must take away from 190 so that it divides exactly by 8?
26. 26.Which of these numbers divides exactly by 11? (a) 7642 (b) 8017 (c) 5885 (d) 8196
27. 27.Which of these numbers divides exactly by 6? (a) 5286 (b) 8633 (c) 3733 (d) 1441
28. 28.What is the smallest number you must add to 686 so that it divides exactly by 9?
29. 29.How many factors does 43 have?
30. 30.What is the smallest number you must add to 261 so that it divides exactly by 4?
31. 31.How many factors does 100 have?
32. 32.Which of these numbers divides exactly by 4? (a) 1657 (b) 3458 (c) 2949 (d) 4724
33. 33.What is the smallest number you must add to 802 so that it divides exactly by 13?
34. 34.What is the smallest number you must add to 139 so that it divides exactly by 6?
35. 35.How many factors does 18 have?
36. 36.How many factors does 68 have?
37. 37.Which of these numbers divides exactly by 11? (a) 6450 (b) 3334 (c) 5748 (d) 9119
38. 38.What is the smallest number you must add to 590 so that it divides exactly by 13?
39. 39.What is the smallest number you must add to 202 so that it divides exactly by 6?
40. 40.Which of these numbers divides exactly by 4? (a) 6861 (b) 9375 (c) 7009 (d) 9880

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