Find if a Number is Divisible by 14


A brief tutorial which explains the divisibility rule for 14. This rule helps you to identify whether the given number is divisible by 14. Two rules are applied to check for the divisibility of 14. 'If the number is divisible by 2 and 7', Rule 1 is applied and 'Add the last two digits to twice the rest', Rule 2 is applied.

Divisibility Rule for 14

Rule 1:

Check whether the given number is divisible by 2 and 7. If the number is divisible by these numbers, then the original number is also divisible by 14.

Example

Find if the number 224 is divisible by 14

Solution :

Applying the divisibility rule of 14,

Step 1:

112 x 2 = 224 32 x 7 = 224 Now, it is clear that 224 is divisible by 2 and 7. Hence, it is also divisible by 14.

Rule 2:

Add the last two digits to twice the rest. Check whether the resultant number is divisible by 2 and 7, if it is, then the original number is also divisible by 2 and 7.

Example

Find if the number 1764 is divisible by 14

Solution :
Step 1:

Adding the last two digits to twice the rest, we get 17 × 2 + 64 = 98

Step 2:

Check 98 is divisible by 2 and 7 49 x 2 = 98 14 x 7 = 98 Now, it is clear that 98 is divisible by 2 and 7. Hence, the number 1764 is also divisible by 14.


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