Divisibility Rule of 371

The divisibility rule for 371 is a method by which we can find out if a number is divisible by 371 or not without using the division method. Check whether 742 is divisible by 371 with the divisibility rule.  

Step 1: Identify the number, here in 742, and compare it to 371.

Step 2: Divide the number by 371 to see if it results in a whole number. 742 ÷ 371 = 2.

Step 3: As 742 ÷ 371 equals 2, which is a whole number, 742 is divisible by 371. If the result from step 2 isn't a whole number, then the number isn't divisible by 371.
 

Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 371.
 

• Know the multiples of 371: Memorize the multiples of 371 (371, 742, 1113, 1484... etc.) to quickly check the divisibility. If the division results in a whole number, then the number is divisible by 371.
   
• Use estimation: If the number is close to a multiple of 371, estimate to check divisibility without full division.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a manageable number to check if it is divisible by 371.  
   
• Use the division method to verify: Students can use the division method as a way to verify and crosscheck 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: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 371 are 371, 742, 1113...
   
• Whole number: A number without fractions; an integer.
   
• Estimation: A rough calculation or educated guess to reach a conclusion.
   
• Remainder: The amount left over after division when one divisor does not exactly divide another.