Divisibility Rule of 461

The divisibility rule for 461 helps determine if a number is divisible by 461 without using division. Check whether 1383 is divisible by 461 using the divisibility rule.

Step 1: Break the number into three groups, starting from the right. For 1383, consider "1", "383".

Step 2: Subtract the group from the rest of the number. Here, 1 - 383 = -382.

Step 3: Since -382 is not divisible by 461, 1383 is not divisible by 461. If the result from step 2 is a multiple of 461, the number is divisible by 461.

Learning the divisibility rule can help students master division. Here are a few tips and tricks for the divisibility rule of 461.

• Know the multiples of 461: Memorize the multiples of 461 (461, 922, 1383, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 461, then the number is divisible by 461.

• Use absolute values: If the subtraction result is negative, consider its absolute value for checking divisibility.

• Repeat the process for large numbers: Students should keep repeating the divisibility process until they reach a small number to check against 461. For example, to check if 5530 is divisible by 461, break the number into groups, subtract, and repeat.

• Use the division method to verify: Students can use the division method to verify and cross-check their results, helping them learn and confirm their answers.

• Divisibility rule: A set of guidelines to determine if one number is divisible by another without performing the division.

• Multiples: The results obtained by multiplying a number by an integer. For example, multiples of 461 are 461, 922, 1383, etc.

• Absolute value: The non-negative value of a number without regard to its sign.

• Subtraction: The process of finding the difference between two numbers.

• Integer: A whole number that can be positive, negative, or zero.