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Last updated on February 18th, 2025
The divisibility rule is a method to determine whether a number is divisible by another number without performing the division operation. In real life, divisibility rules allow for quick calculations, even distribution, and organization. In this topic, we will explore the divisibility rule of 921.
The divisibility rule for 921 is a method by which we can determine if a number is divisible by 921 without division. Let's check whether 1842 is divisible by 921 using this rule.
Step 1: Multiply the last digit of the number by 2. In 1842, the last digit is 2. Multiply it by 2: 2 × 2 = 4.
Step 2: Add the result from Step 1 to the remaining number, excluding the last digit. That is, 184 + 4 = 188.
Step 3: Since 188 is not a multiple of 921, 1842 is not divisible by 921. If the result from Step 2 were a multiple of 921, the number would be divisible by 921.
Learning the divisibility rule helps students master division. Here are a few tips and tricks for the divisibility rule of 921:
Memorize the multiples of 921 (921, 1842, 2763, etc.) to quickly check divisibility. If the result from the addition is a multiple of 921, then the number is divisible by 921.
If the result after addition is negative, treat it as positive to check divisibility.
Continue the divisibility process until reaching a smaller number divisible by 921. For example, check if 3684 is divisible by 921:
Multiply the last digit by 2, i.e., 4 × 2 = 8.
Add the remaining digits excluding the last digit, 368 + 8 = 376.
Since 376 is not a multiple of 921, 3684 is not divisible by 921.
Students can use the division method to verify their results, reinforcing their learning.
Is 3684 divisible by 921?
Check the divisibility rule of 921 for 5526.
Is -921 divisible by 921?
Can 1842 be divisible by 921 following a divisibility rule?
Check the divisibility rule of 921 for 2763.
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.