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## Divisibility Tables

#### Grade 3 Algebra - 3.OA.C.7

What are Divisibility Tables? Divisibility means when a number is divided by another number the result is a whole number. For example, when 14 is divided by 7 the answer is 2 which means that the 14 is divisible by 7. On the other hand, when you divided 15 by 7 you will not get a whole number and the answer is 2 (1/7). Hence, this is not a whole number. There are certain rules that are followed to check if a number is divisible by another. For instance, we can try dividing 723 by 3. But there is a way of checking if the division can lead to a whole number 7 + 2 + 3 = 12 | 12 / 3 = 4 (Yes) Rule number 2, any integer which is not a fraction is divisible by 1. For every number, there is a particular rule to be followed. It is represented below: Rule for 2 - The last digit needs to be even (0, 2, 4, 6, 8). Rule for 3 - The sum of digits needs to be divisible by 3. 381 (3 + 8 + 1 = 12) and (12 / 3 = 4). Rule for 4 - The last 2 digits need to be divisible by 4. 1312 (12 / 4 = 3). Rule for 5 - The last digit needs to be either 5 or 0. Rule for 6 - Is the number even and divisible by 3? 114 (it is even and 1 + 1 + 4, 6 / 3 = 2). Rule for 7 - Double the last digit and then subtracting it from the number made by other digits. The result has to be divisible by 7. 672 (double 2 is 4, 67 – 4 = 63 and 63 / 7 = 9) Students learn how to master basic division through the help of these worksheets. The lessons present the rules of divisibility in the form of tables that they will learn.

### Printable Worksheets And Lessons  #### Homework Sheets

You will see that we go up against divisibility from all angles on this one.

• Homework 1 - If a number can evenly divide (no remainders) into a number, that number is divisible by the other.
• Homework 2 - 36 ÷ 5 = 7 remainder 1 (No, the number cannot evenly divide.)
• Homework 3 - Circle the numbers below that are divisible by 5.

#### Practice Worksheets

These charts really come in handy to work students through patterns too.

• Practice 1 - Match the tables and their answer keys. You can probably get away with just knowing six values for each table.
• Practice 2 - Write "Yes" if the number is divisible or "No" if number is not divisible by the given number.
• Practice 3 - Another test of divisibility. We approach a single integer with two prompts for you to evaluate.

#### Math Skill Quizzes

We use number sentences and tables to test you on these skills.

• Quiz 1 - Use the clue to fill in the missing digit. You can approach this using a variety of methods. Use which ever one works best for you.
• Quiz 2 - Is the number to the left of each row divisible by the number at top of each column? Write YES or NO in each box.