Divisibility Rules and Factors Worksheet

Quantitative aptitude lesson 3: Divisibility and factors · Set 28 · 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 11? (a) 1294 (b) 7760 (c) 9733 (d) 2277
2. 2.What is the smallest number you must take away from 322 so that it divides exactly by 13?
3. 3.Which of these numbers divides exactly by 9? (a) 3196 (b) 7242 (c) 9839 (d) 2970
4. 4.Which of these numbers divides exactly by 8? (a) 1791 (b) 7842 (c) 4528 (d) 1317
5. 5.How many factors does 88 have?
6. 6.What is the smallest number you must add to 835 so that it divides exactly by 9?
7. 7.How many factors does 42 have?
8. 8.What is the smallest number you must take away from 519 so that it divides exactly by 9?
9. 9.What is the smallest number you must add to 105 so that it divides exactly by 9?
10. 10.Which of these numbers divides exactly by 4? (a) 2238 (b) 8578 (c) 8178 (d) 9104
11. 11.What is the smallest number you must add to 574 so that it divides exactly by 12?
12. 12.What is the smallest number you must add to 869 so that it divides exactly by 6?
13. 13.Which of these numbers divides exactly by 11? (a) 8235 (b) 1639 (c) 5123 (d) 9371
14. 14.What is the smallest number you must add to 424 so that it divides exactly by 6?
15. 15.How many factors does 84 have?
16. 16.How many factors does 64 have?
17. 17.How many factors does 41 have?
18. 18.Which of these numbers divides exactly by 9? (a) 1460 (b) 7119 (c) 4639 (d) 4773
19. 19.What is the smallest number you must take away from 886 so that it divides exactly by 9?
20. 20.What is the smallest number you must add to 219 so that it divides exactly by 13?
21. 21.Which of these numbers divides exactly by 3? (a) 1266 (b) 3475 (c) 4624 (d) 2335
22. 22.What is the smallest number you must add to 139 so that it divides exactly by 4?
23. 23.What is the smallest number you must add to 110 so that it divides exactly by 6?
24. 24.What is the smallest number you must add to 620 so that it divides exactly by 6?
25. 25.What is the smallest number you must add to 158 so that it divides exactly by 4?
26. 26.What is the smallest number you must take away from 308 so that it divides exactly by 3?
27. 27.What is the smallest number you must add to 593 so that it divides exactly by 3?
28. 28.Which of these numbers divides exactly by 4? (a) 2386 (b) 1838 (c) 4366 (d) 3056
29. 29.What is the smallest number you must add to 310 so that it divides exactly by 9?
30. 30.How many factors does 19 have?
31. 31.What is the smallest number you must add to 118 so that it divides exactly by 13?
32. 32.Which of these numbers divides exactly by 9? (a) 8649 (b) 7584 (c) 7378 (d) 4640
33. 33.What is the smallest number you must add to 397 so that it divides exactly by 4?
34. 34.How many factors does 90 have?
35. 35.How many factors does 21 have?
36. 36.Which of these numbers divides exactly by 3? (a) 5822 (b) 5888 (c) 1242 (d) 3461
37. 37.How many factors does 31 have?
38. 38.Which of these numbers divides exactly by 4? (a) 2313 (b) 8700 (c) 6347 (d) 7787
39. 39.What is the smallest number you must add to 596 so that it divides exactly by 3?
40. 40.Which of these numbers divides exactly by 9? (a) 3969 (b) 5019 (c) 4549 (d) 4915

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