Divisibility Rule of 757

The divisibility rule for 757 is a method by which we can determine if a number is divisible by 757 without using the division method. Check whether 2271 is divisible by 757 with the divisibility rule.

Step 1: Multiply the last two digits of the number by the appropriate factor that results in a multiple of 757 when subtracted from the rest of the number. Here in 2271, 71 is the last two digits, and let's assume we multiply it by a factor, say 'X'.

Step 2: Subtract the result from Step 1 from the remaining values but do not include the last two digits. i.e., 22 - (71 × X) = Result.

Step 3: Check if the result from Step 2 is a multiple of 757. If it is, then the number is divisible by 757. If the result from step 2 isn't a multiple of 757, then the number isn't divisible by 757.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 757.

Know the multiples of 757:

Memorize the multiples of 757 (757, 1514, 2271, 3028, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 757, then the number is divisible by 757.

Use negative numbers:

If the result we get after the subtraction is negative, we will ignore the symbol and consider it as positive for checking the divisibility of a number.

Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach a small number that is divisible by 757. 

For example: Check if 6803 is divisible by 757 using the divisibility test. Multiply the last two digits by the appropriate factor, e.g., 03 × X. Subtract the remaining digits excluding the last two digits by 03 × X, i.e., 68 - (03 × X) = Result. If necessary, repeat the process until the result is a multiple of 757.

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 to verify and also learn.

• Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.

• Multiples: Results obtained after multiplying a number by an integer. For example, multiples of 757 are 757, 1514, 2271, etc.

• Integers: Numbers that include all the whole numbers, negative numbers, and zero.

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

• Factor: A number by which another number is multiplied to obtain a specific result.