Introduction to Divisibility

Divisibility is a way of determining whether one number can be divided by another without leaving a remainder. Today, we will focus on two important numbers: 5 and 10.

Divisibility by 5

A number is divisible by 5 if it ends in either 0 or 5. This means when you look at the last digit of the number, if it’s a 0 or a 5, you can divide that number by 5 without any leftovers.

Examples:

  • 15 ends in 5, so it’s divisible by 5.
  • 30 ends in 0, so it’s also divisible by 5.
  • 22 ends in 2, so it’s not divisible by 5.

Key Rule:

  • If the last digit is 0 or 5, then the number is divisible by 5.

Tips for Divisibility by 5:

  • Just look at the last digit!
  • If you see a 0 or a 5, you know it’s a yes!

Divisibility by 10

A number is divisible by 10 if it ends in 0. This means when you look at the last digit of the number, if it’s a 0, you can divide that number by 10 without any leftovers.

Examples:

  • 20 ends in 0, so it’s divisible by 10.
  • 50 ends in 0, so it’s also divisible by 10.
  • 37 ends in 7, so it’s not divisible by 10.

Key Rule:

  • If the last digit is 0, then the number is divisible by 10.

Tips for Divisibility by 10:

  • Again, just check the last digit!
  • If you see a 0, you know it’s a yes!

Summary

  • Divisibility by 5: Last digit is 0 or 5.
  • Divisibility by 10: Last digit is 0.

Now, let’s test your understanding with some questions!

Questions

Easy Level Questions

  1. Is 25 divisible by 5?
  2. Is 40 divisible by 10?
  3. Is 55 divisible by 5?
  4. Is 70 divisible by 10?
  5. Is 32 divisible by 5?
  6. Is 15 divisible by 5?
  7. Is 80 divisible by 10?
  8. Is 45 divisible by 5?
  9. Is 60 divisible by 10?
  10. Is 12 divisible by 5?
  11. Is 50 divisible by 5?
  12. Is 90 divisible by 10?
  13. Is 85 divisible by 5?
  14. Is 100 divisible by 10?
  15. Is 33 divisible by 5?
  16. Is 75 divisible by 5?
  17. Is 20 divisible by 10?
  18. Is 10 divisible by 5?
  19. Is 27 divisible by 5?
  20. Is 0 divisible by 10?

Medium Level Questions

  1. Is 67 divisible by 5?
  2. Is 123 divisible by 10?
  3. Is 135 divisible by 5?
  4. Is 210 divisible by 10?
  5. Is 89 divisible by 5?
  6. Is 150 divisible by 10?
  7. Is 42 divisible by 5?
  8. Is 430 divisible by 10?
  9. Is 75 divisible by 10?
  10. Is 95 divisible by 5?
  11. Is 240 divisible by 10?
  12. Is 5 divisible by 5?
  13. Is 36 divisible by 5?
  14. Is 8 divisible by 10?
  15. Is 111 divisible by 5?
  16. Is 500 divisible by 10?
  17. Is 1,000 divisible by 10?
  18. Is 85 divisible by 10?
  19. Is 32 divisible by 10?
  20. Is 63 divisible by 5?

Hard Level Questions

  1. Is 1,250 divisible by 5?
  2. Is 3,000 divisible by 10?
  3. Is 7,345 divisible by 5?
  4. Is 4,560 divisible by 10?
  5. Is 1,999 divisible by 5?
  6. Is 2,340 divisible by 10?
  7. Is 876 divisible by 5?
  8. Is 1,432 divisible by 10?
  9. Is 3,205 divisible by 5?
  10. Is 8,000 divisible by 10?
  11. Is 9,777 divisible by 5?
  12. Is 12,100 divisible by 10?
  13. Is 5,555 divisible by 5?
  14. Is 6,789 divisible by 10?
  15. Is 1001 divisible by 5?
  16. Is 4,000 divisible by 10?
  17. Is 65,000 divisible by 5?
  18. Is 21,234 divisible by 10?
  19. Is 57,543 divisible by 5?
  20. Is 0 divisible by 5?

Answers and Explanations

Easy Level Answers

  1. Yes
  2. Yes
  3. Yes
  4. Yes
  5. No
  6. Yes
  7. Yes
  8. Yes
  9. Yes
  10. No
  11. Yes
  12. Yes
  13. Yes
  14. Yes
  15. No
  16. Yes
  17. Yes
  18. Yes
  19. No
  20. Yes

Medium Level Answers

  1. No
  2. No
  3. Yes
  4. Yes
  5. No
  6. Yes
  7. No
  8. Yes
  9. No
  10. Yes
  11. Yes
  12. Yes
  13. No
  14. No
  15. No
  16. Yes
  17. Yes
  18. No
  19. No
  20. Yes

Hard Level Answers

  1. Yes
  2. Yes
  3. Yes
  4. Yes
  5. No
  6. Yes
  7. Yes
  8. No
  9. Yes
  10. Yes
  11. Yes
  12. Yes
  13. Yes
  14. No
  15. Yes
  16. Yes
  17. Yes
  18. No
  19. Yes
  20. Yes

I hope this helps you understand how to check if numbers are divisible by 5 and 10! Remember, just look at the last digit!