Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 17 · 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 33 have?
2. 2.What is the smallest number you must take away from 959 so that it divides exactly by 3?
3. 3.What is the smallest number you must add to 155 so that it divides exactly by 3?
4. 4.Which of these numbers divides exactly by 4? (a) 4340 (b) 3438 (c) 5666 (d) 9170
5. 5.How many factors does 88 have?
6. 6.What is the smallest number you must add to 173 so that it divides exactly by 13?
7. 7.Which of these numbers divides exactly by 4? (a) 1664 (b) 8195 (c) 5438 (d) 6710
8. 8.What is the smallest number you must add to 426 so that it divides exactly by 8?
9. 9.Which of these numbers divides exactly by 8? (a) 3149 (b) 5218 (c) 5415 (d) 3832
10. 10.What is the smallest number you must take away from 356 so that it divides exactly by 12?
11. 11.What is the smallest number you must add to 744 so that it divides exactly by 13?
12. 12.What is the smallest number you must add to 874 so that it divides exactly by 6?
13. 13.How many factors does 16 have?
14. 14.Which of these numbers divides exactly by 9? (a) 5511 (b) 7538 (c) 8430 (d) 4635
15. 15.What is the smallest number you must add to 498 so that it divides exactly by 13?
16. 16.Which of these numbers divides exactly by 4? (a) 1300 (b) 3393 (c) 3183 (d) 5411
17. 17.How many factors does 80 have?
18. 18.Which of these numbers divides exactly by 3? (a) 5894 (b) 2623 (c) 2619 (d) 5419
19. 19.Which of these numbers divides exactly by 3? (a) 3500 (b) 4142 (c) 5349 (d) 1112
20. 20.What is the smallest number you must take away from 193 so that it divides exactly by 9?
21. 21.How many factors does 98 have?
22. 22.Which of these numbers divides exactly by 4? (a) 2531 (b) 9964 (c) 6823 (d) 3942
23. 23.What is the smallest number you must add to 381 so that it divides exactly by 13?
24. 24.How many factors does 92 have?
25. 25.How many factors does 36 have?
26. 26.How many factors does 24 have?
27. 27.What is the smallest number you must take away from 556 so that it divides exactly by 9?
28. 28.Which of these numbers divides exactly by 4? (a) 1002 (b) 4657 (c) 6324 (d) 2633
29. 29.Which of these numbers divides exactly by 8? (a) 8895 (b) 8195 (c) 2262 (d) 6880
30. 30.What is the smallest number you must take away from 429 so that it divides exactly by 9?
31. 31.What is the smallest number you must take away from 222 so that it divides exactly by 12?
32. 32.What is the smallest number you must take away from 594 so that it divides exactly by 4?
33. 33.What is the smallest number you must add to 788 so that it divides exactly by 7?
34. 34.Which of these numbers divides exactly by 6? (a) 7131 (b) 5860 (c) 1332 (d) 6355
35. 35.What is the smallest number you must take away from 803 so that it divides exactly by 3?
36. 36.How many factors does 32 have?
37. 37.What is the smallest number you must take away from 130 so that it divides exactly by 8?
38. 38.What is the smallest number you must take away from 176 so that it divides exactly by 6?
39. 39.Which of these numbers divides exactly by 4? (a) 4150 (b) 1778 (c) 3400 (d) 3311
40. 40.How many factors does 62 have?

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