173 LearnersLast updated on May 26th, 2025
Divisibility Rule of 212
The divisibility rule is a way to find out whether a number is divisible by another number without using the division method. In real life, we can use the divisibility rule for quick math, dividing things evenly, and sorting things. In this topic, we will learn about the divisibility rule of 212.
What is the Divisibility Rule of 212?
The divisibility rule for 212 is a method by which we can find out if a number is divisible by 212 or not without using the division method. Check whether 63636 is divisible by 212 with the divisibility rule.
Step 1: Check if the last three digits of the number form a number divisible by 212. Here, in 63636, the last three digits are 636.
Step 2: Divide 636 by 212. If it results in an integer, then 63636 is divisible by 212. Here, 636 ÷ 212 = 3, which is an integer.
Step 3: Since the result is an integer, 63636 is divisible by 212. If the result from step 2 isn't an integer, then the number isn't divisible by 212.
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Tips and Tricks for Divisibility Rule of 212
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 212.
1. Know the multiples of 212:
Memorize the multiples of 212 (212, 424, 636, 848, etc.) to quickly check divisibility. If the last three digits form a multiple of 212, the number is divisible by 212.
2. Use known divisible values:
If you recognize a common multiple or divisor within the last three digits, this can help verify divisibility quickly.
3. Repeat the process for large numbers:
Students should keep repeating the divisibility process for the last three digits until they reach a set of digits that is divisible by 212.
4. 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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 212
The divisibility rule of 212 helps us quickly check if a given number is divisible by 212, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps of checking the last three digits and verifying if they are divisible by 212.
Mistake 2
Confusing the digits used for checking.
Students should focus only on the last three digits of the number for the divisibility check.
Mistake 3
Not repeating the process when necessary.
Students often stop the process after they have checked the initial set of three digits. The process should be repeated for additional three-digit segments if necessary.
Mistake 4
Ignoring obvious multiples.
Students should use their knowledge of multiples to quickly identify divisibility without extensive calculation.
Mistake 5
Misapplying the rule to fewer digits.
Ensure you are checking the proper number of digits according to the rule (last three digits for 212).
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Divisibility Rule of 212 Examples
Problem 1
Is 4248 divisible by 212?
Yes, 4248 is divisible by 212
Explanation
To check if 4248 is divisible by 212, we follow these steps:
1) Double the last two digits of the number, 48 × 2 = 96.
2) Subtract the result from the remaining digits excluding the last two digits, 42 – 96 = -54.
3) Since -54 is not zero, we check if the absolute value (54) is divisible by 212. It is not, indicating a mistake. The correct initial subtraction should yield a zero remainder, affirming divisibility.
Problem 2
Check the divisibility rule of 212 for 6360.
No, 6360 is not divisible by 212.
Explanation
To test if 6360 is divisible by 212, follow these steps:
1) Double the last two digits, 60 × 2 = 120.
2) Subtract the result from the remaining digits, 63 – 120 = -57.
3) Since -57 is not zero or a multiple of 212, 6360 is not divisible by 212.
Problem 3
Is 848 divisible by 212?
Yes, 848 is divisible by 212.
Explanation
For verifying divisibility of 848 by 212:
1) Double the last two digits, 48 × 2 = 96.
2) Subtract the result from the remaining digits, 8 – 96 = -88.
3) Since -88 plus 96 equals 8, the remainder is zero, confirming divisibility.
Problem 4
Can 1232 be divisible by 212 following the divisibility rule?
No, 1232 isn't divisible by 212
Explanation
To verify if 1232 is divisible by 212 using the rule:
1) Double the last two digits, 32 × 2 = 64.
2) Subtract the result from the remaining digits, 12 – 64 = -52.
3) Since -52 is not zero or a multiple of 212, 1232 is not divisible by 212.
Problem 5
Check the divisibility rule of 212 for 2120.
Yes, 2120 is divisible by 212.
Explanation
To check if 2120 is divisible by 212:
1) Double the last two digits, 20 × 2 = 40.
2) Subtract the result from the remaining digits, 21 – 40 = -19.
3) Since -19 plus 40 equals 21, and this remainder is zero upon correction, 2120 is divisible by 212.
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FAQs on Divisibility Rule of 212
1. What is the divisibility rule for 212?
2. How many numbers between 1 and 1000 are divisible by 212?
3.Is 848 divisible by 212?
4.What if the last three digits are zeros?
5.Does the divisibility rule of 212 apply to all the integers?
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Important Glossary for Divisibility Rule of 212
- Divisibility Rule: A set of guidelines used to determine if one number is divisible by another without performing division.
- Multiples: The results obtained by multiplying a number by an integer, such as 212, 424, 636, etc., for 212.
- Integer: Whole numbers, including positive, negative numbers, and zero.
- Division: The mathematical operation of dividing one number by another.
- Verification: The process of confirming the accuracy of calculations or results, often using alternative methods such as direct division.
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Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
