Divisibility Rule of 387

The divisibility rule for 387 is a method by which we can find out if a number is divisible by 387 or not without using the division method. Check whether 1161 is divisible by 387 using the divisibility rule.

Step 1: Divide the number into groups of three digits from the right. Here, 1161 becomes 1 and 161.

Step 2: Multiply the first group (rightmost) by 1, the second by -2, the third by 3, and so on in alternating pattern. Calculate: 161 × 1 = 161 and 1 × (-2) = -2.

Step 3: Add these results: 161 + (-2) = 159.

Step 4: Verify if 159 is a multiple of 387. Since it is not, 1161 is not divisible by 387.

Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 387.

• Know the multiples of 387: Memorize the multiples of 387 (387, 774, 1161, etc.) to quickly check divisibility.
   
• Use alternating patterns: Always remember to use the alternating pattern of multiplying groups by 1, -2, 3, etc.
   
• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number that is divisible by 387.
   
• Use the division method to verify: Students can use the division method to verify and crosscheck their results.

• Divisibility rule: A set of rules used to determine whether a number is divisible by another number or not. 
   
• Multiples: Results obtained after multiplying a number by an integer. For example, multiples of 387 are 387, 774, 1161, etc.
   
• Integers: Numbers that include all whole numbers, negative numbers, and zero.
   
• Alternating pattern: A sequence of operations (such as multiplication by 1, -2, 3, etc.) used in the divisibility rule.
   
• Verification: The process of confirming results, often by using an alternative method such as direct division.