Divisibility Rule of 127

The divisibility rule for 127 is a method by which we can determine if a number is divisible by 127 without using the division method. Check whether 381 is divisible by 127 with the divisibility rule.

Step 1: Multiply the last digit of the number by 1, here in 381, 1 is the last digit, so multiply it by 1. 1 × 1 = 1

Step 2: Multiply the second last digit by 12, here 8 is the second last digit, so multiply it by 12. 8 × 12 = 96

Step 3: Multiply the remaining digit(s) by -1, here 3 is the remaining digit. 3 × -1 = -3

Step 4: Add all the results from the previous steps: 1 + 96 - 3 = 94

Step 5: Check if 94 is divisible by 127. Since it isn't, 381 is not divisible by 127.

Learning divisibility rules will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 127.

• Know the multiples of 127: Memorize the multiples of 127 (127, 254, 381, 508, etc.) to quickly check divisibility. If the result from the addition is a multiple of 127, then the number is divisible by 127.

• Use negative numbers: If the result we get after the addition is negative, we will avoid the symbol and consider it as positive for checking divisibility.

• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a number that can be easily checked for divisibility by 127.

• 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 confirm their findings and also learn.

• Divisibility rule: The set of guidelines used to determine whether a number is divisible by another number.

• Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 127 are 127, 254, 381, etc.

• Integers: Numbers that include all whole numbers, negative numbers, and zero.

• Addition: The process of combining numbers to find their total.

• Verification: The act of confirming the accuracy of a result through calculation or other means.