# Divisibility Rule For 14 With Examples

**Divisibility Rule For 14 With Examples**

### Divisibility Rule for 14

A number is divisible by 14 if it meets the criteria for both 2 and 7. This means we need to check two conditions:

**Divisibility by 2**: A number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8).**Divisibility by 7**: A number is divisible by 7 if, when we apply the specific rule for 7, the result is either 0 or a multiple of 7.

### Steps to Check Divisibility by 14

**Check Divisibility by 2**:

- Look at the last digit of the number.
- If it is even, proceed to the next step; if it’s odd, the number is not divisible by 14.

**Check Divisibility by 7**:

- Use the method for checking divisibility by 7 (either by using the rule for 7 or performing long division).

**Conclusion**:

- If both conditions are satisfied, then the number is divisible by 14.

### Example Walkthroughs

#### Example 1: 84

**Check Divisibility by 2**:

- Last digit: 4 (even).
**Conclusion**: 84 passes this condition.

**Check Divisibility by 7**:

- (84/7 = 12) (with no remainder).
**Conclusion**: 84 is divisible by 7.

**Final Conclusion**: Since 84 is divisible by both 2 and 7,**84 is divisible by 14**.

#### Example 2: 56

**Check Divisibility by 2**:

- Last digit: 6 (even).
**Conclusion**: 56 passes this condition.

**Check Divisibility by 7**:

- (56/7 = 8) (with no remainder).
**Conclusion**: 56 is divisible by 7.

**Final Conclusion**: Since 56 is divisible by both 2 and 7,**56 is divisible by 14**.

#### Example 3: 30

**Check Divisibility by 2**:

- Last digit: 0 (even).
**Conclusion**: 30 passes this condition.

**Check Divisibility by 7**:

- (30/7 ≈ 4.29) (not an integer, remainder exists).
**Conclusion**: 30 is not divisible by 7.

**Final Conclusion**: Since 30 is not divisible by 7, it is**not divisible by 14**.

#### Example 4: 70

**Check Divisibility by 2**:

- Last digit: 0 (even).
**Conclusion**: 70 passes this condition.

**Check Divisibility by 7**:

- (70/7 = 10) (with no remainder).
**Conclusion**: 70 is divisible by 7.

**Final Conclusion**: Since 70 is divisible by both 2 and 7,**70 is divisible by 14**.

#### Example 5: 100

**Check Divisibility by 2**:

- Last digit: 0 (even).
**Conclusion**: 100 passes this condition.

**Check Divisibility by 7**:

- (100 /7 ≈ 14.29) (not an integer, remainder exists).
**Conclusion**: 100 is not divisible by 7.

**Final Conclusion**: Since 100 is not divisible by 7, it is**not divisible by 14**.

### Summary

To determine if a number is divisible by 14:

- First, check if it is even (divisible by 2).
- Then, check if it is divisible by 7.
- If both conditions are met, the number is divisible by 14.

This method allows to quickly verify divisibility without lengthy calculations.