Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 115 · 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 974 so that it divides exactly by 6?
2. 2.What is the smallest number you must add to 958 so that it divides exactly by 11?
3. 3.Which of these numbers divides exactly by 9? (a) 3632 (b) 7047 (c) 9955 (d) 1347
4. 4.Which of these numbers divides exactly by 4? (a) 8768 (b) 5225 (c) 4491 (d) 7818
5. 5.What is the smallest number you must take away from 544 so that it divides exactly by 3?
6. 6.How many factors does 26 have?
7. 7.Which of these numbers divides exactly by 9? (a) 7280 (b) 1188 (c) 3101 (d) 8440
8. 8.Which of these numbers divides exactly by 8? (a) 7895 (b) 7551 (c) 7939 (d) 3680
9. 9.What is the smallest number you must take away from 695 so that it divides exactly by 9?
10. 10.Which of these numbers divides exactly by 11? (a) 4811 (b) 6280 (c) 6930 (d) 1523
11. 11.Which of these numbers divides exactly by 8? (a) 1218 (b) 8646 (c) 8456 (d) 9821
12. 12.How many factors does 24 have?
13. 13.What is the smallest number you must add to 383 so that it divides exactly by 13?
14. 14.How many factors does 38 have?
15. 15.What is the smallest number you must add to 454 so that it divides exactly by 3?
16. 16.What is the smallest number you must take away from 943 so that it divides exactly by 12?
17. 17.What is the smallest number you must take away from 854 so that it divides exactly by 11?
18. 18.How many factors does 45 have?
19. 19.Which of these numbers divides exactly by 8? (a) 4977 (b) 1194 (c) 7905 (d) 9672
20. 20.How many factors does 40 have?
21. 21.How many factors does 82 have?
22. 22.What is the smallest number you must take away from 548 so that it divides exactly by 3?
23. 23.What is the smallest number you must add to 350 so that it divides exactly by 6?
24. 24.How many factors does 74 have?
25. 25.Which of these numbers divides exactly by 6? (a) 9828 (b) 1873 (c) 4366 (d) 9920
26. 26.Which of these numbers divides exactly by 8? (a) 3139 (b) 3280 (c) 9050 (d) 2907
27. 27.How many factors does 90 have?
28. 28.What is the smallest number you must add to 167 so that it divides exactly by 12?
29. 29.Which of these numbers divides exactly by 4? (a) 9538 (b) 2226 (c) 6315 (d) 2796
30. 30.Which of these numbers divides exactly by 6? (a) 5945 (b) 6688 (c) 7257 (d) 6726
31. 31.What is the smallest number you must take away from 535 so that it divides exactly by 11?
32. 32.What is the smallest number you must take away from 999 so that it divides exactly by 11?
33. 33.How many factors does 99 have?
34. 34.How many factors does 66 have?
35. 35.Which of these numbers divides exactly by 11? (a) 4185 (b) 8360 (c) 2846 (d) 3038
36. 36.How many factors does 61 have?
37. 37.What is the smallest number you must take away from 257 so that it divides exactly by 6?
38. 38.What is the smallest number you must add to 781 so that it divides exactly by 12?
39. 39.What is the smallest number you must take away from 889 so that it divides exactly by 12?
40. 40.How many factors does 83 have?

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