# How to know if a number is divisible by 7?

Let us explore the divisibility rule of 7.

## Answer: The rule is that the last digit of the given number should be multiplied by 2 and then subtracted with the rest of the number leaving the last digit. If the difference is 0 or a multiple of 7, then it is divisible by 7.

Let us understand the rule in detail:

**Explanation:**

Follow the loop:

- Separate the last digit from the number.
- Double the last digit.
- Subtract that from the truncated number thus obtained.
- Continue this process till you are left with only one digit.
- If the single digit at the end is 0 or 7, then the original number is divisible by 7.

For example: 945

94 - 2(5) = 94 - 10 = 84

8 - 2(4) = 8 - 8 = 0

So, 945 is divisible by 7.

### Hence, the divisibility rule of 7 is to double the last digit and subtract from the remaining number and continue this until only one digit remains. If the end result is 0 or 7, then the original number is divisible by 7.

Math worksheets and

visual curriculum

visual curriculum