To determine if a number is divisible by 7, you can use a simple trick:
- Remove the last digit of the number.
- Double the removed digit.
- Subtract the doubled digit from the remaining number.
- If the result is divisible by 7, then the original number is also divisible by 7.
Example:
Let's take the number 357:
- Remove the last digit (7).
- Double the removed digit (7 x 2 = 14).
- Subtract the doubled digit from the remaining number (35 - 14 = 21).
- 21 is divisible by 7, so the original number 357 is also divisible by 7.
Other methods:
- Direct division: You can always divide the number by 7 and check if the remainder is zero.
- Programming: You can use programming languages like Python to write a function that checks if a number is divisible by 7 using the modulo operator (%) which returns the remainder of the division.
In conclusion, the divisibility rule of 7 provides a quick and efficient way to determine if a number is divisible by 7 without performing actual division. This rule is based on the properties of modular arithmetic and can be applied to numbers of any size.