➗ Division Skill Builders - Grade 3
Master Your Division Facts!
Learning division facts from \(1\) to \(10\) will help you solve math problems faster! Remember: division is the opposite of multiplication!
Each division fact has a related multiplication fact that can help you find the answer!
1️⃣ Divide by 1
Identity Property of Division
\(a \div 1 = a\)
Any number divided by 1 equals that same number!
Division Facts:
| \(1 \div 1 = 1\) | \(2 \div 1 = 2\) | \(3 \div 1 = 3\) |
| \(4 \div 1 = 4\) | \(5 \div 1 = 5\) | \(6 \div 1 = 6\) |
| \(7 \div 1 = 7\) | \(8 \div 1 = 8\) | \(9 \div 1 = 9\) |
| \(10 \div 1 = 10\) |
💡 Easy Rule: Dividing by 1 doesn't change the number!
2️⃣ Divide by 2
The Halving Rule
\(n \div 2 = \frac{n}{2}\)
Dividing by 2 means finding HALF the number!
Division Table:
| \(2 \div 2 = 1\) | \(4 \div 2 = 2\) | \(6 \div 2 = 3\) |
| \(8 \div 2 = 4\) | \(10 \div 2 = 5\) | \(12 \div 2 = 6\) |
| \(14 \div 2 = 7\) | \(16 \div 2 = 8\) | \(18 \div 2 = 9\) |
| \(20 \div 2 = 10\) |
💡 Pattern: Only EVEN numbers can be divided evenly by 2!
3️⃣ Divide by 3
Division Table:
| \(3 \div 3 = 1\) | \(6 \div 3 = 2\) | \(9 \div 3 = 3\) |
| \(12 \div 3 = 4\) | \(15 \div 3 = 5\) | \(18 \div 3 = 6\) |
| \(21 \div 3 = 7\) | \(24 \div 3 = 8\) | \(27 \div 3 = 9\) |
| \(30 \div 3 = 10\) |
💡 Trick: If the sum of digits is divisible by 3, the number is divisible by 3!
Example: \(24 \div 3\) → \(2 + 4 = 6\), and 6 is divisible by 3! ✓
4️⃣ Divide by 4
The Half-Half Method
Divide by 2, then divide by 2 again!
Example: \(20 \div 4 = (20 \div 2) \div 2 = 10 \div 2 = 5\)
Division Table:
| \(4 \div 4 = 1\) | \(8 \div 4 = 2\) | \(12 \div 4 = 3\) |
| \(16 \div 4 = 4\) | \(20 \div 4 = 5\) | \(24 \div 4 = 6\) |
| \(28 \div 4 = 7\) | \(32 \div 4 = 8\) | \(36 \div 4 = 9\) |
| \(40 \div 4 = 10\) |
💡 Pattern: All dividends are EVEN numbers!
5️⃣ Divide by 5
The Easy Pattern!
Numbers divisible by 5 always end in 0 or 5!
Division Table:
| \(5 \div 5 = 1\) | \(10 \div 5 = 2\) | \(15 \div 5 = 3\) |
| \(20 \div 5 = 4\) | \(25 \div 5 = 5\) | \(30 \div 5 = 6\) |
| \(35 \div 5 = 7\) | \(40 \div 5 = 8\) | \(45 \div 5 = 9\) |
| \(50 \div 5 = 10\) |
💡 Pattern: Count by 5s to find answers!
6️⃣ Divide by 6
Division Table:
| \(6 \div 6 = 1\) | \(12 \div 6 = 2\) | \(18 \div 6 = 3\) |
| \(24 \div 6 = 4\) | \(30 \div 6 = 5\) | \(36 \div 6 = 6\) |
| \(42 \div 6 = 7\) | \(48 \div 6 = 8\) | \(54 \div 6 = 9\) |
| \(60 \div 6 = 10\) |
💡 Trick: Numbers divisible by 6 are divisible by both 2 AND 3!
7️⃣ Divide by 7
Division Table:
| \(7 \div 7 = 1\) | \(14 \div 7 = 2\) | \(21 \div 7 = 3\) |
| \(28 \div 7 = 4\) | \(35 \div 7 = 5\) | \(42 \div 7 = 6\) |
| \(49 \div 7 = 7\) | \(56 \div 7 = 8\) | \(63 \div 7 = 9\) |
| \(70 \div 7 = 10\) |
💡 Tip: Use your 7s multiplication facts to help with division!
8️⃣ Divide by 8
The Half-Half-Half Method
Divide by 2, then by 2, then by 2 again!
Example: \(32 \div 8 = ((32 \div 2) \div 2) \div 2 = 4\)
Division Table:
| \(8 \div 8 = 1\) | \(16 \div 8 = 2\) | \(24 \div 8 = 3\) |
| \(32 \div 8 = 4\) | \(40 \div 8 = 5\) | \(48 \div 8 = 6\) |
| \(56 \div 8 = 7\) | \(64 \div 8 = 8\) | \(72 \div 8 = 9\) |
| \(80 \div 8 = 10\) |
💡 Pattern: All dividends are EVEN numbers!
9️⃣ Divide by 9 - The Magic Number!
The Digit Sum Trick!
The digits of any number divisible by 9 add up to 9 (or a multiple of 9)!
\(27 \div 9 = 3\) → \(2 + 7 = 9\) ✓
\(36 \div 9 = 4\) → \(3 + 6 = 9\) ✓
\(54 \div 9 = 6\) → \(5 + 4 = 9\) ✓
Division Table:
| \(9 \div 9 = 1\) | \(18 \div 9 = 2\) | \(27 \div 9 = 3\) |
| \(36 \div 9 = 4\) | \(45 \div 9 = 5\) | \(54 \div 9 = 6\) |
| \(63 \div 9 = 7\) | \(72 \div 9 = 8\) | \(81 \div 9 = 9\) |
| \(90 \div 9 = 10\) |
💡 Amazing Pattern: Add the digits! If the sum is 9 or 18, it's divisible by 9!
🔟 Divide by 10
The Super Easy Rule!
\(n0 \div 10 = n\)
Just remove the zero!
\(30 \div 10 = 3\)
\(70 \div 10 = 7\)
\(90 \div 10 = 9\)
Division Table:
| \(10 \div 10 = 1\) | \(20 \div 10 = 2\) | \(30 \div 10 = 3\) |
| \(40 \div 10 = 4\) | \(50 \div 10 = 5\) | \(60 \div 10 = 6\) |
| \(70 \div 10 = 7\) | \(80 \div 10 = 8\) | \(90 \div 10 = 9\) |
| \(100 \div 10 = 10\) |
💡 Pattern: All dividends end in 0! Just drop the zero!
📋 Complete Division Table (1-10)
| ÷ | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
|---|---|---|---|---|---|---|---|---|---|---|
| 10 | 10 | 5 | — | — | 2 | — | — | — | — | 1 |
| 20 | 20 | 10 | — | 5 | 4 | — | — | — | — | 2 |
| 30 | 30 | 15 | 10 | — | 6 | 5 | — | — | — | 3 |
| 40 | 40 | 20 | — | 10 | 8 | — | — | 5 | — | 4 |
| 50 | 50 | 25 | — | — | 10 | — | — | — | — | 5 |
| 60 | 60 | 30 | 20 | 15 | 12 | 10 | — | — | — | 6 |
| 70 | 70 | 35 | — | — | 14 | — | 10 | — | — | 7 |
| 80 | 80 | 40 | — | 20 | 16 | — | — | 10 | — | 8 |
| 90 | 90 | 45 | 30 | — | 18 | 15 | — | — | 10 | 9 |
| 100 | 100 | 50 | — | 25 | 20 | — | — | — | — | 10 |
Note: "—" means the division doesn't result in a whole number
💡 Quick Learning Tips
- ✓ Learn 0 and 1 first - they're the easiest!
- ✓ Division by 1: answer is always the same number
- ✓ Division by 2: find half the number
- ✓ Division by 5: numbers end in 0 or 5
- ✓ Division by 9: digits add up to 9
- ✓ Division by 10: just remove a zero!
- ✓ If you know multiplication facts, you know division facts!
- ✓ Use multiplication to check your division answers
- ✓ Practice with flashcards every day
- ✓ A number divided by itself always equals 1
- ✓ You cannot divide by zero!
- ✓ Use fact families to see the relationship
- ✓ Draw equal groups or arrays to help visualize