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Divisibility Test Worksheets | Divisibility Rules from 2 to 12 - Free Printable

Divisibility Test Worksheets | Divisibility Rules from 2 to 12

Educational worksheet: Divisibility Test Worksheets | Divisibility Rules from 2 to 12. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Divisibility Test Worksheets | Divisibility Rules from 2 to 12
To solve the problem, we need to apply the Divisibility Rules for the numbers 2, 4, and 8. Let's break it down step by step.

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Divisibility Rule for 2:


A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8).

Divisibility Rule for 4:


A number is divisible by 4 if the number formed by its last two digits is divisible by 4.

Divisibility Rule for 8:


A number is divisible by 8 if the number formed by its last three digits is divisible by 8.

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Step-by-Step Solution:



#### Part A: Circle the numbers that are divisible by 2.
We check the last digit of each number to see if it is even.

1. 62,201: Last digit is 1 (odd) → Not divisible by 2.
2. 178: Last digit is 8 (even) → Divisible by 2.
3. 29: Last digit is 9 (odd) → Not divisible by 2.
4. 513: Last digit is 3 (odd) → Not divisible by 2.
5. 52,868: Last digit is 8 (even) → Divisible by 2.
6. 8,002: Last digit is 2 (even) → Divisible by 2.
7. 105,743: Last digit is 3 (odd) → Not divisible by 2.
8. 41,296: Last digit is 6 (even) → Divisible by 2.
9. 6,837: Last digit is 7 (odd) → Not divisible by 2.
10. 375,548: Last digit is 8 (even) → Divisible by 2.
11. 86,625: Last digit is 5 (odd) → Not divisible by 2.
12. 232,860: Last digit is 0 (even) → Divisible by 2.
13. 17: Last digit is 7 (odd) → Not divisible by 2.
14. 540,825: Last digit is 5 (odd) → Not divisible by 2.
15. 75,722: Last digit is 2 (even) → Divisible by 2.
16. 5,769: Last digit is 9 (odd) → Not divisible by 2.
17. 734: Last digit is 4 (even) → Divisible by 2.
18. 23,368: Last digit is 8 (even) → Divisible by 2.
19. 3,276: Last digit is 6 (even) → Divisible by 2.
20. 717,040: Last digit is 0 (even) → Divisible by 2.
21. 965,841: Last digit is 1 (odd) → Not divisible by 2.
22. 32,844: Last digit is 4 (even) → Divisible by 2.
23. 512: Last digit is 2 (even) → Divisible by 2.
24. 645: Last digit is 5 (odd) → Not divisible by 2.
25. 2,862: Last digit is 2 (even) → Divisible by 2.
26. 3,242: Last digit is 2 (even) → Divisible by 2.
27. 12,036: Last digit is 6 (even) → Divisible by 2.
28. 53,620: Last digit is 0 (even) → Divisible by 2.
29. 301,570: Last digit is 0 (even) → Divisible by 2.
30. 481,664: Last digit is 4 (even) → Divisible by 2.
31. 225: Last digit is 5 (odd) → Not divisible by 2.
32. 837: Last digit is 7 (odd) → Not divisible by 2.
33. 6,236: Last digit is 6 (even) → Divisible by 2.
34. 984,762: Last digit is 2 (even) → Divisible by 2.
35. 86,340: Last digit is 0 (even) → Divisible by 2.
36. 101,088: Last digit is 8 (even) → Divisible by 2.
37. 4,656: Last digit is 6 (even) → Divisible by 2.
38. 3,213: Last digit is 3 (odd) → Not divisible by 2.
39. 529,736: Last digit is 6 (even) → Divisible by 2.
40. 5,072: Last digit is 2 (even) → Divisible by 2.
41. 6,990: Last digit is 0 (even) → Divisible by 2.
42. 26,864: Last digit is 4 (even) → Divisible by 2.
43. 197,032: Last digit is 2 (even) → Divisible by 2.
44. 507,123: Last digit is 3 (odd) → Not divisible by 2.
45. 6,651: Last digit is 1 (odd) → Not divisible by 2.
46. 27,328: Last digit is 8 (even) → Divisible by 2.
47. 4,584: Last digit is 4 (even) → Divisible by 2.
48. 36,676: Last digit is 6 (even) → Divisible by 2.
49. 2,975: Last digit is 5 (odd) → Not divisible by 2.
50. 46,672: Last digit is 2 (even) → Divisible by 2.
51. 798,840: Last digit is 0 (even) → Divisible by 2.

Numbers divisible by 2:
178, 52,868, 8,002, 41,296, 375,548, 232,860, 75,722, 734, 23,368, 3,276, 717,040, 32,844, 512, 2,862, 3,242, 12,036, 53,620, 301,570, 481,664, 6,236, 984,762, 86,340, 101,088, 4,656, 529,736, 5,072, 6,990, 26,864, 197,032, 27,328, 4,584, 36,676, 46,672, 798,840.

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#### Part B: Circle the numbers that are divisible by 4.
We check the last two digits of each number to see if they form a number divisible by 4.

1. 62,201: Last two digits are 01 (not divisible by 4).
2. 178: Last two digits are 78 (not divisible by 4).
3. 29: Last two digits are 29 (not divisible by 4).
4. 513: Last two digits are 13 (not divisible by 4).
5. 52,868: Last two digits are 68 (divisible by 4).
6. 8,002: Last two digits are 02 (not divisible by 4).
7. 105,743: Last two digits are 43 (not divisible by 4).
8. 41,296: Last two digits are 96 (divisible by 4).
9. 6,837: Last two digits are 37 (not divisible by 4).
10. 375,548: Last two digits are 48 (divisible by 4).
11. 86,625: Last two digits are 25 (not divisible by 4).
12. 232,860: Last two digits are 60 (divisible by 4).
13. 17: Last two digits are 17 (not divisible by 4).
14. 540,825: Last two digits are 25 (not divisible by 4).
15. 75,722: Last two digits are 22 (not divisible by 4).
16. 5,769: Last two digits are 69 (not divisible by 4).
17. 734: Last two digits are 34 (not divisible by 4).
18. 23,368: Last two digits are 68 (divisible by 4).
19. 3,276: Last two digits are 76 (divisible by 4).
20. 717,040: Last two digits are 40 (divisible by 4).
21. 965,841: Last two digits are 41 (not divisible by 4).
22. 32,844: Last two digits are 44 (divisible by 4).
23. 512: Last two digits are 12 (divisible by 4).
24. 645: Last two digits are 45 (not divisible by 4).
25. 2,862: Last two digits are 62 (not divisible by 4).
26. 3,242: Last two digits are 42 (not divisible by 4).
27. 12,036: Last two digits are 36 (divisible by 4).
28. 53,620: Last two digits are 20 (divisible by 4).
29. 301,570: Last two digits are 70 (not divisible by 4).
30. 481,664: Last two digits are 64 (divisible by 4).
31. 225: Last two digits are 25 (not divisible by 4).
32. 837: Last two digits are 37 (not divisible by 4).
33. 6,236: Last two digits are 36 (divisible by 4).
34. 984,762: Last two digits are 62 (not divisible by 4).
35. 86,340: Last two digits are 40 (divisible by 4).
36. 101,088: Last two digits are 88 (divisible by 4).
37. 4,656: Last two digits are 56 (divisible by 4).
38. 3,213: Last two digits are 13 (not divisible by 4).
39. 529,736: Last two digits are 36 (divisible by 4).
40. 5,072: Last two digits are 72 (divisible by 4).
41. 6,990: Last two digits are 90 (not divisible by 4).
42. 26,864: Last two digits are 64 (divisible by 4).
43. 197,032: Last two digits are 32 (divisible by 4).
44. 507,123: Last two digits are 23 (not divisible by 4).
45. 6,651: Last two digits are 51 (not divisible by 4).
46. 27,328: Last two digits are 28 (divisible by 4).
47. 4,584: Last two digits are 84 (divisible by 4).
48. 36,676: Last two digits are 76 (divisible by 4).
49. 2,975: Last two digits are 75 (not divisible by 4).
50. 46,672: Last two digits are 72 (divisible by 4).
51. 798,840: Last two digits are 40 (divisible by 4).

Numbers divisible by 4:
52,868, 41,296, 375,548, 232,860, 23,368, 3,276, 717,040, 32,844, 512, 12,036, 53,620, 481,664, 6,236, 86,340, 101,088, 4,656, 529,736, 5,072, 26,864, 197,032, 27,328, 4,584, 36,676, 46,672, 798,840.

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#### Part C: Circle the numbers that are divisible by 8.
We check the last three digits of each number to see if they form a number divisible by 8.

1. 62,201: Last three digits are 201 (not divisible by 8).
2. 178: Last three digits are 178 (not divisible by 8).
3. 29: Last three digits are 029 (not divisible by 8).
4. 513: Last three digits are 513 (not divisible by 8).
5. 52,868: Last three digits are 868 (not divisible by 8).
6. 8,002: Last three digits are 002 (not divisible by 8).
7. 105,743: Last three digits are 743 (not divisible by 8).
8. 41,296: Last three digits are 296 (divisible by 8).
9. 6,837: Last three digits are 837 (not divisible by 8).
10. 375,548: Last three digits are 548 (not divisible by 8).
11. 86,625: Last three digits are 625 (not divisible by 8).
12. 232,860: Last three digits are 860 (not divisible by 8).
13. 17: Last three digits are 017 (not divisible by 8).
14. 540,825: Last three digits are 825 (not divisible by 8).
15. 75,722: Last three digits are 722 (not divisible by 8).
16. 5,769: Last three digits are 769 (not divisible by 8).
17. 734: Last three digits are 734 (not divisible by 8).
18. 23,368: Last three digits are 368 (divisible by 8).
19. 3,276: Last three digits are 276 (not divisible by 8).
20. 717,040: Last three digits are 040 (divisible by 8).
21. 965,841: Last three digits are 841 (not divisible by 8).
22. 32,844: Last three digits are 844 (not divisible by 8).
23. 512: Last three digits are 512 (divisible by 8).
24. 645: Last three digits are 645 (not divisible by 8).
25. 2,862: Last three digits are 862 (not divisible by 8).
26. 3,242: Last three digits are 242 (not divisible by 8).
27. 12,036: Last three digits are 036 (not divisible by 8).
28. 53,620: Last three digits are 620 (not divisible by 8).
29. 301,570: Last three digits are 570 (not divisible by 8).
30. 481,664: Last three digits are 664 (divisible by 8).
31. 225: Last three digits are 225 (not divisible by 8).
32. 837: Last three digits are 837 (not divisible by 8).
33. 6,236: Last three digits are 236 (not divisible by 8).
34. 984,762: Last three digits are 762 (not divisible by 8).
35. 86,340: Last three digits are 340 (not divisible by 8).
36. 101,088: Last three digits are 088 (divisible by 8).
37. 4,656: Last three digits are 656 (divisible by 8).
38. 3,213: Last three digits are 213 (not divisible by 8).
39. 529,736: Last three digits are 736 (divisible by 8).
40. 5,072: Last three digits are 072 (divisible by 8).
41. 6,990: Last three digits are 990 (not divisible by 8).
42. 26,864: Last three digits are 864 (divisible by 8).
43. 197,032: Last three digits are 032 (divisible by 8).
44. 507,123: Last three digits are 123 (not divisible by 8).
45. 6,651: Last three digits are 651 (not divisible by 8).
46. 27,328: Last three digits are 328 (divisible by 8).
47. 4,584: Last three digits are 584 (divisible by 8).
48. 36,676: Last three digits are 676 (not divisible by 8).
49. 2,975: Last three digits are 975 (not divisible by 8).
50. 46,672: Last three digits are 672 (divisible by 8).
51. 798,840: Last three digits are 840 (divisible by 8).

Numbers divisible by 8:
41,296, 23,368, 717,040, 512, 481,664, 101,088, 4,656, 529,736, 5,072, 26,864, 197,032, 27,328, 4,584, 46,672, 798,840.

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Final Answer:


- Divisible by 2:
\boxed{178, 52,868, 8,002, 41,296, 375,548, 232,860, 75,722, 734, 23,368, 3,276, 717,040, 32,844, 512, 2,862, 3,242, 12,036, 53,620, 301,570, 481,664, 6,236, 984,762, 86,340, 101,088, 4,656, 529,736, 5,072, 6,990, 26,864, 197,032, 27,328, 4,584, 36,676, 46,672, 798,840}
- Divisible by 4:
\boxed{52,868, 41,296, 375,548, 232,860, 23,368, 3,276, 717,040, 32,844, 512, 12,036, 53,620, 481,664, 6,236, 86,340, 101,088, 4,656, 529,736, 5,072, 26,864, 197,032, 27,328, 4,584, 36,676, 46,672, 798,840}
- Divisible by 8:
\boxed{41,296, 23,368, 717,040, 512, 481,664, 101,088, 4,656, 529,736, 5,072, 26,864, 197,032, 27,328, 4,584, 46,672, 798,840}
Parent Tip: Review the logic above to help your child master the concept of rules of divisibility worksheet.
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