Divisibility Rule of 431

The divisibility rule for 431 is a method to find out if a number is divisible by 431 without performing direct division. Let's explore whether 51792 is divisible by 431 using the divisibility rule.

Step 1: Break the number into two parts, the last three digits and the remaining digits. Here, in 51792, the last three digits are 792, and the remaining part is 51.

Step 2: Check if the last three digits (792) form a multiple of 431. If they do, then the number is divisible by 431. If not, the number is not divisible by 431.

Learning the divisibility rule will help students master division. Here are some tips and tricks for the divisibility rule of 431.

Know the multiples of 431:

Memorize the multiples of 431 (431, 862, 1293, etc.) to quickly check divisibility. If the last three digits form a multiple of 431, then the number is divisible by 431.

Repeat the process for large numbers:

For larger numbers, repeat the process to split and check divisibility by examining each segment of the number.

Use the division method to verify:

Students can use the division method to verify and cross-check their results. This helps in confirming the result and enhances learning.
 

• Divisibility rule: A set of guidelines used to determine if a number is divisible by another number without direct division.
   
• Multiples: Results obtained from multiplying a number by an integer. For example, multiples of 431 are 431, 862, 1293, etc.
   
• Integer: A whole number, either positive, negative, or zero, without fractions.
   
• Segment: A part or section of a number, such as the last three digits in this context.
   
• Verification: The process of confirming the accuracy of a calculation or result, often using another method like direct division.