Divisibility Rule of 762

The divisibility rule for 762 is a method by which we can find out if a number is divisible by 762 or not without using the division method. Check whether 1524 is divisible by 762 with the divisibility rule.
 

Step 1: Check if the number is divisible by both 2 and 381, since 762 = 2 × 381.

Check divisibility by 2: The number 1524 ends in 4, which is even, so it is divisible by 2.

Check divisibility by 381: Since 381 is not a commonly known divisor, we use the standard division method to verify this part.
 

Step 2: If the number is divisible by both 2 and 381, then it is divisible by 762.
 

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 762.
 

• Know the factors of 762: Since 762 = 2 × 381, understanding this factorization helps in checking divisibility.
   
• Use the divisibility rules for the factors: Check divisibility by 2 (last digit is even) and 381 (use standard division as reference).
   
• Repeat the process for large numbers: For very large numbers, first check divisibility by smaller factors like 2, then proceed to larger factors.
   
• 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 determine whether a number is divisible by another number without performing division.
   
• Factors: Numbers that divide another number evenly without leaving a remainder.
   
• Integer: A whole number that can be positive, negative, or zero.
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• Even number: A number that is divisible by 2.
   
• Verification: The process of confirming the accuracy of a calculation or conclusion.