Question

Complete the problems below.

results.

Is the first number divisible by the second? Explain.

1. 2,472 by 9

2. 558 by 3

3. 6,780 by 2

4. 3,179,144 by 4

5. 571 by 2

6. 82,240 by 8

7. 5,605 by 10

8. 3,650 by 5

9. 6,722,540 by 10

10. 110,344 by 8

11. 8,395 by 3

12. 7,623,540 by 9

13. 3,491,660 by 4

14. 123 by 3

State whether each number is divisible by 2, 3, 4, 5, 8, 9, 10, or none. Some numbers

may be divisible by more than one number.

15. 3,864

16. 2,235

17. 265

18. 410

19. 324

20. 6,720

21. 150

22. 840

23. 625

24. 81,816

25. 2,724

26. 1,430

27. 7,848

28. 450

29. 72,424

30. 6,168

Write the missing digit to make each number divisible by 9.

31. 22__,043

32. 3__,187

33. 1__,111

34. 2,03__,371

Answer 1

1. NO

2. YES

3. YES

4. YES

5. NO

6. YES

7. NO

8. YES

9. YES

10. YES

11. NO

12. YES

13. YES

14. YES

15. 9, 8, 7, 6, 4, 3, and 2

16. 5 and 3

17. 5

18. 10, 5, and 2

19. 9, 6, 4, 3, and 2

20. 10, 8, 7, 6, 5, 4, 3, and 2

21. 10, 6, 5, 3, and 2

22. 10, 8, 7, 6, 5, 4, 3, and 2

23. 5

24. 7, 6, 4, 3, and 2

25. 6, 4, 3, and 2

26. 10, 5, 4, and 2

27. 9, 8, 6, 4, 3, and 2

28. 10, 9, 6, 5, 3, and 2

29. 8, 4, and 2

30. 8, 6, 4, 3, and 2

31. 227043

32. 38187

33. 15111

34. 2032371

Explanation:

Divisibility Rules

10 → The digit in the ones place value chart must be a 0.

9 → The sum of the digits must add up to a multiple of 9.

8 → The LAST THREE DIGITS of the entire number must be a multiple of 8.

7 → Take the ones place value digit off the entire number, double it, then deduct the doubled number from the remaining number. NOTE: This may need to be repeated several times.

6 → The entire number must be a multiple of BOTH 3 and 2 [Here is the catch: 2 × 3 = 6]

5 → The digit in the ones place value chart must be a 0 or 5.

4 → The LAST TWO DIGITS of the entire number must be a multiple of 4.

3 → The sum of the digits must add up to a multiple of 3.

2 → The digit in the ones place value chart must be a 0, 2, 4, 6, or 8.

I hope all this information can be put into some good use, and as always, I am EXTREMELY joyous to assist anyone at any time.