Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 286 · 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 8? (a) 1384 (b) 8193 (c) 2675 (d) 6327
2. 2.Which of these numbers divides exactly by 6? (a) 5515 (b) 4922 (c) 3904 (d) 3342
3. 3.How many factors does 75 have?
4. 4.Which of these numbers divides exactly by 11? (a) 2073 (b) 4747 (c) 4367 (d) 9110
5. 5.What is the smallest number you must take away from 951 so that it divides exactly by 11?
6. 6.What is the smallest number you must take away from 206 so that it divides exactly by 9?
7. 7.How many factors does 92 have?
8. 8.How many factors does 22 have?
9. 9.What is the smallest number you must add to 901 so that it divides exactly by 12?
10. 10.Which of these numbers divides exactly by 6? (a) 7194 (b) 3706 (c) 1849 (d) 9784
11. 11.What is the smallest number you must take away from 939 so that it divides exactly by 8?
12. 12.How many factors does 34 have?
13. 13.What is the smallest number you must add to 873 so that it divides exactly by 6?
14. 14.How many factors does 24 have?
15. 15.What is the smallest number you must add to 258 so that it divides exactly by 11?
16. 16.How many factors does 97 have?
17. 17.How many factors does 55 have?
18. 18.What is the smallest number you must add to 318 so that it divides exactly by 13?
19. 19.Which of these numbers divides exactly by 6? (a) 7840 (b) 8994 (c) 6317 (d) 4318
20. 20.Which of these numbers divides exactly by 3? (a) 6125 (b) 3272 (c) 3548 (d) 1689
21. 21.Which of these numbers divides exactly by 4? (a) 5102 (b) 6898 (c) 4015 (d) 2328
22. 22.How many factors does 94 have?
23. 23.What is the smallest number you must add to 509 so that it divides exactly by 3?
24. 24.What is the smallest number you must add to 287 so that it divides exactly by 8?
25. 25.Which of these numbers divides exactly by 3? (a) 8140 (b) 5879 (c) 7943 (d) 5280
26. 26.Which of these numbers divides exactly by 4? (a) 3188 (b) 6626 (c) 8574 (d) 3427
27. 27.What is the smallest number you must add to 758 so that it divides exactly by 13?
28. 28.How many factors does 59 have?
29. 29.What is the smallest number you must add to 936 so that it divides exactly by 11?
30. 30.What is the smallest number you must take away from 278 so that it divides exactly by 12?
31. 31.Which of these numbers divides exactly by 3? (a) 2147 (b) 7719 (c) 2045 (d) 2662
32. 32.What is the smallest number you must take away from 866 so that it divides exactly by 6?
33. 33.Which of these numbers divides exactly by 9? (a) 6533 (b) 7384 (c) 5256 (d) 7453
34. 34.Which of these numbers divides exactly by 9? (a) 5482 (b) 1737 (c) 3558 (d) 1690
35. 35.How many factors does 25 have?
36. 36.What is the smallest number you must take away from 208 so that it divides exactly by 12?
37. 37.What is the smallest number you must add to 815 so that it divides exactly by 11?
38. 38.What is the smallest number you must take away from 470 so that it divides exactly by 9?
39. 39.What is the smallest number you must take away from 601 so that it divides exactly by 9?
40. 40.Which of these numbers divides exactly by 9? (a) 7862 (b) 1437 (c) 3916 (d) 5535

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