Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 179 · 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 47 have?
2. 2.Which of these numbers divides exactly by 8? (a) 8965 (b) 2178 (c) 2452 (d) 5848
3. 3.What is the smallest number you must add to 367 so that it divides exactly by 8?
4. 4.Which of these numbers divides exactly by 3? (a) 8869 (b) 8495 (c) 6667 (d) 2403
5. 5.What is the smallest number you must take away from 446 so that it divides exactly by 3?
6. 6.What is the smallest number you must add to 510 so that it divides exactly by 12?
7. 7.What is the smallest number you must add to 140 so that it divides exactly by 3?
8. 8.What is the smallest number you must take away from 346 so that it divides exactly by 6?
9. 9.Which of these numbers divides exactly by 11? (a) 2838 (b) 1231 (c) 1032 (d) 4841
10. 10.Which of these numbers divides exactly by 6? (a) 9501 (b) 2025 (c) 9204 (d) 3538
11. 11.How many factors does 13 have?
12. 12.What is the smallest number you must add to 953 so that it divides exactly by 8?
13. 13.How many factors does 70 have?
14. 14.What is the smallest number you must take away from 372 so that it divides exactly by 7?
15. 15.What is the smallest number you must take away from 182 so that it divides exactly by 4?
16. 16.What is the smallest number you must take away from 444 so that it divides exactly by 8?
17. 17.How many factors does 43 have?
18. 18.How many factors does 15 have?
19. 19.Which of these numbers divides exactly by 6? (a) 4353 (b) 8639 (c) 8142 (d) 7778
20. 20.What is the smallest number you must add to 753 so that it divides exactly by 11?
21. 21.What is the smallest number you must add to 744 so that it divides exactly by 7?
22. 22.What is the smallest number you must add to 508 so that it divides exactly by 9?
23. 23.How many factors does 92 have?
24. 24.What is the smallest number you must take away from 126 so that it divides exactly by 12?
25. 25.What is the smallest number you must take away from 242 so that it divides exactly by 13?
26. 26.What is the smallest number you must add to 277 so that it divides exactly by 9?
27. 27.What is the smallest number you must take away from 399 so that it divides exactly by 4?
28. 28.What is the smallest number you must take away from 170 so that it divides exactly by 4?
29. 29.Which of these numbers divides exactly by 9? (a) 9122 (b) 5918 (c) 8403 (d) 3924
30. 30.What is the smallest number you must take away from 601 so that it divides exactly by 11?
31. 31.What is the smallest number you must take away from 261 so that it divides exactly by 6?
32. 32.What is the smallest number you must take away from 284 so that it divides exactly by 7?
33. 33.What is the smallest number you must add to 536 so that it divides exactly by 9?
34. 34.Which of these numbers divides exactly by 11? (a) 3245 (b) 2735 (c) 3414 (d) 6119
35. 35.How many factors does 91 have?
36. 36.What is the smallest number you must add to 691 so that it divides exactly by 4?
37. 37.Which of these numbers divides exactly by 9? (a) 5871 (b) 8451 (c) 5395 (d) 9481
38. 38.Which of these numbers divides exactly by 9? (a) 6095 (b) 6201 (c) 1232 (d) 6163
39. 39.Which of these numbers divides exactly by 4? (a) 6606 (b) 6960 (c) 4365 (d) 8021
40. 40.What is the smallest number you must add to 937 so that it divides exactly by 12?

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