Divisibility Rules Worksheets - 15 Worksheets Library - Free Printable

Let's solve this Divisibility Rule Matching worksheet step by step.

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Task:

Match each number (2, 3, 4, 5, 6, 8, 9, 10) on the left with the correct divisibility rule from the list on the right.

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Step 1: Understand Each Divisibility Rule

Here are the standard divisibility rules for numbers 2 through 10:

#### ✔ Divisibility by 2:
A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8).
→ "Any number with the last digit of 0, 2, 4, 6, or 8."

#### ✔ Divisibility by 3:
A number is divisible by 3 if the sum of its digits is divisible by 3.
→ "If the sum of its digits is divisible by 3."

#### ✔ Divisibility by 4:
A number is divisible by 4 if the last two digits form a number divisible by 4.
→ "If the last two digits of a given number are zero or if the number formed by the last two digits is divisible by 4."

#### ✔ Divisibility by 5:
A number is divisible by 5 if its last digit is 0 or 5.
→ "If the last number is either 0 or 5."

#### ✔ Divisibility by 6:
A number is divisible by 6 if it is divisible by both 2 and 3.
→ "If a number is divisible by 2 and 3."

#### ✔ Divisibility by 8:
A number is divisible by 8 if the last three digits form a number divisible by 8.
→ "If the last three digits of a given number are zeros or if the number formed by the last three digits is divisible by 8."

#### ✔ Divisibility by 9:
A number is divisible by 9 if the sum of its digits is divisible by 9.
→ "If the sum of digits of the number is divisible by 9."

#### ✔ Divisibility by 10:
A number is divisible by 10 if its last digit is 0.
→ "Any number whose last digit is 0."

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Step 2: Match Each Number to Its Rule

Now let’s match each number on the left to the correct statement on the right.

| Number | Rule |
|--------|------|
| 2 | Any number with the last digit of 0, 2, 4, 6, or 8. |
| 3 | If the sum of its digits is divisible by 3. |
| 4 | If the last two digits of a given number are zero or if the number formed by the last two digits is divisible by 4. |
| 5 | If the last number is either 0 or 5. |
| 6 | If a number is divisible by 2 and 3. |
| 8 | If the last three digits of a given number are zeros or if the number formed by the last three digits is divisible by 8. |
| 9 | If the sum of digits of the number is divisible by 9. |
| 10 | Any number whose last digit is 0. |

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✔ Final Answer (Matching):

- 2 → "Any number with the last digit of 0, 2, 4, 6, or 8."
- 3 → "If the sum of its digits is divisible by 3."
- 4 → "If the last two digits of a given number are zero or if the number formed by the last two digits is divisible by 4."
- 5 → "If the last number is either 0 or 5."
- 6 → "If a number is divisible by 2 and 3."
- 8 → "If the last three digits of a given number are zeros or if the number formed by the last three digits is divisible by 8."
- 9 → "If the sum of digits of the number is divisible by 9."
- 10 → "Any number whose last digit is 0."

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✔ How to Fill in the Worksheet:

Draw a line or write the letter/number next to each box on the left to connect it to the correct rule on the right.

For example:
```
2 → Any number with the last digit of 0, 2, 4, 6, or 8.
3 → If the sum of its digits is divisible by 3.
...
```

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✔ This completes the matching task correctly based on standard divisibility rules!