Divisibility Rule of 777

The divisibility rule for 777 is a method by which we can find out if a number is divisible by 777 or not without using the division method. Check whether 2331 is divisible by 777 with the divisibility rule.
 

Step 1: Divide the number into three parts from right to left, each containing three digits. For 2331, consider it as 002 and 331 (adding leading zeros if necessary).
 

Step 2: Multiply the first group (002) by 1, the second group (331) by 2, and so on if there are more groups. Then sum these results. 002 × 1 = 2, 331 × 2 = 662.
 

Step 3: Add the products from Step 2. 2 + 662 = 664.
 

Step 4: If the sum from Step 3 is a multiple of 777, then the original number is divisible by 777. If not, it isn’t. In this case, 664 is not a multiple of 777, so 2331 is not divisible by 777.
 

Learn the divisibility rule to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 777.

Know the multiples of 777:

Memorize the multiples of 777 (777, 1554, 2331, 3108…etc.) to quickly check divisibility. If the result from the sum is a multiple of 777, then the number is divisible by 777.

Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach a small number that is divisible by 777.

For example: Check if 7770 is divisible by 777 using the divisibility test.

Separate the number into groups: 007, 770. Multiply the groups: 007 × 1 = 7, 770 × 2 = 1540. Add the results: 7 + 1540 = 1547. Since 1547 is not a multiple of 777, 7770 is not divisible by 777.

Use the division method to verify:

Students can use the division method as a way to verify and cross-check their results. This will help them verify and also learn.