Divisibility Rule of 957

The divisibility rule for 957 is a method by which we can find out if a number is divisible by 957 or not without using the division method. Check whether 1914 is divisible by 957 with the divisibility rule.
 

Step 1: Break down 957 into its prime factors: 3, 11, and 29. A number is divisible by 957 if it is divisible by all these prime factors.
 

Step 2: Check divisibility by 3: Add the digits of the number. If the sum is divisible by 3, the number is divisible by 3. For 1914, 1+9+1+4=15, which is divisible by 3.

Step 3: Check divisibility by 11: Subtract the sum of the digits in odd positions from the sum of the digits in even positions. If the result is a multiple of 11, the number is divisible by 11. For 1914, (1+1)-(9+4)=-11, which is a multiple of 11.
 

Step 4: Check divisibility by 29: This step is more intricate, but you can use long division or a calculator to verify. For practical purposes, if a number is large, it's often checked directly.

Step 5: Since 1914 is divisible by 3 and 11, you would perform a direct check for 29, confirming the divisibility by 957.
 

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 957.
 

Know the multiples of 957:

Memorize the multiples of 957 (957, 1914, 2871, etc.) to quickly check divisibility. If the number is not readily recognizable, break it down by the prime factors.
 

Use prime factors:

For large numbers, check divisibility using the prime factors 3, 11, and 29 separately. This simplifies the process.

Repeat the process for large numbers:

Students should keep repeating the divisibility process until they reach small numbers that are divisible by 3, 11, and 29.

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. For example, a number is divisible by 3 if the sum of its digits is divisible by 3.
   
• Prime Factors: The prime numbers that multiply together to get the original number. For 957, the prime factors are 3, 11, and 29.
   
• Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 957 are 957, 1914, 2871, etc.
   
• Verification: The process of confirming the result using an alternative method, such as direct division.