Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 46 · 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 add to 374 so that it divides exactly by 6?
2. 2.How many factors does 48 have?
3. 3.What is the smallest number you must take away from 491 so that it divides exactly by 6?
4. 4.What is the smallest number you must take away from 218 so that it divides exactly by 11?
5. 5.How many factors does 24 have?
6. 6.Which of these numbers divides exactly by 9? (a) 4980 (b) 1071 (c) 1604 (d) 2888
7. 7.Which of these numbers divides exactly by 6? (a) 2101 (b) 7749 (c) 8531 (d) 5514
8. 8.How many factors does 42 have?
9. 9.How many factors does 79 have?
10. 10.What is the smallest number you must add to 242 so that it divides exactly by 9?
11. 11.What is the smallest number you must take away from 249 so that it divides exactly by 4?
12. 12.Which of these numbers divides exactly by 9? (a) 6218 (b) 1394 (c) 6668 (d) 7506
13. 13.Which of these numbers divides exactly by 11? (a) 6900 (b) 2682 (c) 2893 (d) 2950
14. 14.Which of these numbers divides exactly by 3? (a) 4563 (b) 5258 (c) 3587 (d) 6305
15. 15.What is the smallest number you must take away from 858 so that it divides exactly by 4?
16. 16.How many factors does 32 have?
17. 17.Which of these numbers divides exactly by 9? (a) 2170 (b) 7519 (c) 3265 (d) 7416
18. 18.What is the smallest number you must take away from 385 so that it divides exactly by 9?
19. 19.What is the smallest number you must add to 545 so that it divides exactly by 3?
20. 20.What is the smallest number you must add to 555 so that it divides exactly by 9?
21. 21.How many factors does 33 have?
22. 22.Which of these numbers divides exactly by 3? (a) 4849 (b) 4713 (c) 4426 (d) 2314
23. 23.What is the smallest number you must take away from 290 so that it divides exactly by 6?
24. 24.How many factors does 89 have?
25. 25.What is the smallest number you must add to 271 so that it divides exactly by 6?
26. 26.How many factors does 69 have?
27. 27.Which of these numbers divides exactly by 9? (a) 8706 (b) 6822 (c) 9223 (d) 8531
28. 28.What is the smallest number you must add to 252 so that it divides exactly by 13?
29. 29.Which of these numbers divides exactly by 3? (a) 2809 (b) 3883 (c) 5831 (d) 3141
30. 30.Which of these numbers divides exactly by 11? (a) 3399 (b) 4434 (c) 4170 (d) 3974
31. 31.How many factors does 61 have?
32. 32.How many factors does 45 have?
33. 33.What is the smallest number you must add to 533 so that it divides exactly by 6?
34. 34.Which of these numbers divides exactly by 8? (a) 6447 (b) 4220 (c) 4136 (d) 4737
35. 35.What is the smallest number you must take away from 965 so that it divides exactly by 6?
36. 36.What is the smallest number you must take away from 721 so that it divides exactly by 11?
37. 37.Which of these numbers divides exactly by 11? (a) 2977 (b) 2217 (c) 2835 (d) 2926
38. 38.What is the smallest number you must add to 161 so that it divides exactly by 9?
39. 39.What is the smallest number you must take away from 375 so that it divides exactly by 7?
40. 40.How many factors does 98 have?

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