Introduction to Divisibility
Hello, Year 5! Today, we are going to learn about divisibility. Divisibility tells us whether one number can be divided by another without leaving a remainder. We will focus on divisibility by 2, 4, and 8. Let’s break it down step-by-step.
Divisibility by 2
Key Rule
A number is divisible by 2 if it is an even number. This means it ends with one of these digits: 0, 2, 4, 6, or 8.
Examples
- 12 ends in 2 – it is divisible by 2.
- 27 ends in 7 – it is NOT divisible by 2.
Tip
To quickly check if a number is even, just look at the last digit!
Divisibility by 4
Key Rule
A number is divisible by 4 if the last two digits form a number that is divisible by 4.
Examples
- 312: Look at the last two digits, which are 12. Since 12 ÷ 4 = 3 with no remainder, 312 is divisible by 4.
- 25: The last two digits are 25. Since 25 ÷ 4 = 6.25, it has a remainder, so 25 is NOT divisible by 4.
Tip
You can check if a number is divisible by 4 by only looking at the last two digits!
Divisibility by 8
Key Rule
A number is divisible by 8 if the last three digits form a number that is divisible by 8.
Examples
- 624: The last three digits are 624. Since 624 ÷ 8 = 78, it is divisible by 8.
- 135: The last three digits are 135. Since 135 ÷ 8 = 16.875, it is NOT divisible by 8.
Tip
Just like with 4, focus on the last three digits to check divisibility by 8!
Summary of Key Rules
- Divisible by 2: Last digit is 0, 2, 4, 6, or 8.
- Divisible by 4: Last two digits form a number divisible by 4.
- Divisible by 8: Last three digits form a number divisible by 8.
Practice Questions
Easy Level Questions
- Is 14 divisible by 2?
- Is 22 divisible by 4?
- Is 36 divisible by 2?
- Is 44 divisible by 4?
- Is 56 divisible by 8?
- Is 90 divisible by 2?
- Is 72 divisible by 4?
- Is 88 divisible by 8?
- Is 50 divisible by 2?
- Is 64 divisible by 4?
Medium Level Questions
- Is 102 divisible by 2?
- Is 124 divisible by 4?
- Is 256 divisible by 8?
- Is 135 divisible by 2?
- Is 144 divisible by 4?
- Is 192 divisible by 8?
- Is 90 divisible by 4?
- Is 110 divisible by 2?
- Is 432 divisible by 4?
- Is 512 divisible by 8?
Hard Level Questions
- Is 1,024 divisible by 2?
- Is 1,236 divisible by 4?
- Is 1,488 divisible by 8?
- Is 2,560 divisible by 4?
- Is 1,111 divisible by 2?
- Is 2,048 divisible by 8?
- Is 3,256 divisible by 4?
- Is 4,502 divisible by 2?
- Is 5,763 divisible by 4?
- Is 6,512 divisible by 8?
Answers and Explanations
Easy Level Answers
- Yes, divisible by 2.
- Yes, divisible by 4.
- Yes, divisible by 2.
- Yes, divisible by 4.
- Yes, divisible by 8.
- Yes, divisible by 2.
- Yes, divisible by 4.
- Yes, divisible by 8.
- Yes, divisible by 2.
- Yes, divisible by 4.
Medium Level Answers
- Yes, divisible by 2.
- Yes, divisible by 4.
- Yes, divisible by 8.
- No, not divisible by 2.
- Yes, divisible by 4.
- Yes, divisible by 8.
- No, not divisible by 4.
- Yes, divisible by 2.
- Yes, divisible by 4.
- Yes, divisible by 8.
Hard Level Answers
- Yes, divisible by 2.
- Yes, divisible by 4.
- Yes, divisible by 8.
- Yes, divisible by 4.
- No, not divisible by 2.
- Yes, divisible by 8.
- Yes, divisible by 4.
- Yes, divisible by 2.
- No, not divisible by 4.
- Yes, divisible by 8.
Conclusion
Great job, Year 5! You’ve learned about divisibility by 2, 4, and 8. Remember the rules and tips we discussed, and you’ll be able to determine divisibility quickly and easily. Keep practicing, and you’ll get even better!
