Divisibility Rule of 779

The divisibility rule for 779 is a method that helps us determine if a number is divisible by 779 without using division. Check whether 466735 is divisible by 779 using this rule.

Step 1: Multiply the last digit of the number by 779. In 466735, 5 is the last digit. Multiply it by 779: 5 × 779 = 3895.

Step 2: Subtract the result from Step 1 from the remaining digits, excluding the last digit. That is, 46673 - 3895 = 42778.

Step 3: If the result from step 2 is a multiple of 779, then the number is divisible by 779. If it is not, then the number is not divisible by 779.

Understanding the divisibility rule will help you master division. Let’s learn a few tips and tricks for the divisibility rule of 779.

Know the multiples of 779: Memorize the multiples of 779 (779, 1558, 2337, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 779, then the number is divisible by 779.

Use negative numbers: If the result we get after subtraction is negative, consider the absolute value for checking divisibility.

Repeat the process for large numbers: Keep repeating the divisibility process until you reach a small number that is divisible by 779. For example, check if 1558009 is divisible by 779 using the divisibility test. Multiply the last digit by 779, i.e., 9 × 779 = 7011. Subtract 7011 from 155800, resulting in 148789. Repeat the process for 148789. Multiply the last digit by 779, i.e., 9 × 779 = 7011. Subtract 7011 from 14878, resulting in 7867. Since 7867 is still large, repeat the process. Multiply the last digit by 779, i.e., 7 × 779 = 5453. Subtract 5453 from 786, resulting in 3213. Since 3213 is a multiple of 779, 1558009 is divisible by 779.

Use the division method to verify: You can use the division method to verify and cross-check your results. This will help verify your work and reinforce understanding.
 

• Divisibility rule: The set of rules used to determine whether a number is divisible by another number without direct division. For example, a number is divisible by 2 if it ends in an even digit.

• Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 779 are 779, 1558, 2337, etc.

• Integers: Whole numbers, including negative numbers and zero.

• Subtraction: The process of finding the difference between two numbers by reducing one from another.

• Absolute value: The non-negative value of a number without regard to its sign.