Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 150 · 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.How many factors does 20 have?
2. 2.Which of these numbers divides exactly by 8? (a) 1822 (b) 7575 (c) 7567 (d) 1352
3. 3.What is the smallest number you must take away from 935 so that it divides exactly by 4?
4. 4.How many factors does 23 have?
5. 5.What is the smallest number you must add to 947 so that it divides exactly by 9?
6. 6.What is the smallest number you must add to 137 so that it divides exactly by 6?
7. 7.Which of these numbers divides exactly by 9? (a) 9726 (b) 7788 (c) 9796 (d) 4005
8. 8.How many factors does 49 have?
9. 9.What is the smallest number you must take away from 717 so that it divides exactly by 7?
10. 10.What is the smallest number you must add to 717 so that it divides exactly by 11?
11. 11.What is the smallest number you must add to 762 so that it divides exactly by 9?
12. 12.What is the smallest number you must take away from 165 so that it divides exactly by 13?
13. 13.What is the smallest number you must add to 734 so that it divides exactly by 8?
14. 14.What is the smallest number you must add to 214 so that it divides exactly by 7?
15. 15.Which of these numbers divides exactly by 6? (a) 7581 (b) 9714 (c) 7389 (d) 5559
16. 16.What is the smallest number you must add to 272 so that it divides exactly by 3?
17. 17.What is the smallest number you must add to 853 so that it divides exactly by 13?
18. 18.How many factors does 14 have?
19. 19.Which of these numbers divides exactly by 4? (a) 2883 (b) 6130 (c) 5428 (d) 3679
20. 20.Which of these numbers divides exactly by 4? (a) 2169 (b) 3146 (c) 3419 (d) 2936
21. 21.Which of these numbers divides exactly by 4? (a) 1003 (b) 6444 (c) 7581 (d) 1589
22. 22.What is the smallest number you must take away from 133 so that it divides exactly by 13?
23. 23.How many factors does 71 have?
24. 24.What is the smallest number you must add to 285 so that it divides exactly by 4?
25. 25.Which of these numbers divides exactly by 11? (a) 3003 (b) 1949 (c) 6594 (d) 3114
26. 26.What is the smallest number you must add to 205 so that it divides exactly by 7?
27. 27.What is the smallest number you must take away from 338 so that it divides exactly by 8?
28. 28.What is the smallest number you must add to 189 so that it divides exactly by 13?
29. 29.What is the smallest number you must add to 949 so that it divides exactly by 4?
30. 30.Which of these numbers divides exactly by 11? (a) 3821 (b) 9331 (c) 4248 (d) 5082
31. 31.What is the smallest number you must take away from 785 so that it divides exactly by 4?
32. 32.Which of these numbers divides exactly by 11? (a) 5644 (b) 9866 (c) 6996 (d) 1181
33. 33.What is the smallest number you must take away from 484 so that it divides exactly by 6?
34. 34.Which of these numbers divides exactly by 11? (a) 5491 (b) 6240 (c) 5907 (d) 3486
35. 35.What is the smallest number you must add to 803 so that it divides exactly by 13?
36. 36.Which of these numbers divides exactly by 6? (a) 3097 (b) 6930 (c) 4643 (d) 5975
37. 37.What is the smallest number you must take away from 178 so that it divides exactly by 4?
38. 38.How many factors does 25 have?
39. 39.Which of these numbers divides exactly by 4? (a) 6605 (b) 3090 (c) 4372 (d) 1141
40. 40.What is the smallest number you must add to 140 so that it divides exactly by 6?

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