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117 LearnersLast updated on February 12th, 2025
Divisibility Rule of 362
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 362.
What is the Divisibility Rule of 362?
The divisibility rule for 362 is a method by which we can find out if a number is divisible by 362 or not without using the division method. Check whether 1086 is divisible by 362 with the divisibility rule.
Step 1: Check if the number is large enough to perform the divisibility check directly by dividing it by 362. If it is, perform the division.
Step 2: If the division yields an integer result with no remainder, then the number is divisible by 362.
Step 3: As it is shown that 1086 divided by 362 gives exactly 3, which is an integer, the number is divisible by 362. If the result from step 2 isn't an integer, then the number isn't divisible by 362.
Tips and Tricks for Divisibility Rule of 362
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 362.
- Know the multiples of 362: Memorize the multiples of 362 (362, 724, 1086, 1448, etc.) to quickly check divisibility. If the number you are testing is one of these multiples, it is divisible by 362.
- Verify using subtraction: If you subtract a known multiple of 362 from your number and the result is another multiple of 362, the original number is divisible by 362.
- Repeat for large numbers: For very large numbers, break them into parts that are easier to handle, and ensure each part is divisible by 362. Then, combine the results to confirm divisibility.
- 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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 362
The divisibility rule of 362 helps us to quickly check if the given number is divisible by 362, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking the division result properly.
Ensure the division result is an exact integer with no remainder.
Divisibility Rule of 362 Examples
Problem 1
Is 724 divisible by 362?
Yes, 724 is divisible by 362.
Explanation
To check if 724 is divisible by 362, let's use the divisibility rule specific to 362:
1) Double the last digit of the number, 4 × 2 = 8.
2) Subtract the result from the remaining digits, excluding the last digit, 72 - 8 = 64.
3) Since 64 is not a multiple of 362, we need to check the original division. 724 ÷ 362 = 2, which is a whole number. Therefore, 724 is divisible by 362.
Problem 2
Check the divisibility rule of 362 for 1086.
Yes, 1086 is divisible by 362.
Explanation
To verify if 1086 is divisible by 362:
1) Double the last digit of the number, 6 × 2 = 12.
2) Subtract the result from the remaining digits, 108 - 12 = 96.
3) Since 96 is not a multiple of 362 directly, check the division: 1086 ÷ 362 = 3. Thus, 1086 is divisible by 362.
Problem 3
Is -1810 divisible by 362?
Yes, -1810 is divisible by 362.
Explanation
To determine if -1810 is divisible by 362:
1) Ignore the negative sign temporarily and double the last digit, 0 × 2 = 0.
2) Subtract this from the remaining digits, 181 - 0 = 181.
3) 181 is not a multiple of 362, but checking the division: -1810 ÷ 362 = -5. Thus, the number is divisible by 362.
Problem 4
Can 543 be divisible by 362 following the divisibility rule?
No, 543 is not divisible by 362.
Explanation
To check if 543 is divisible by 362:
1) Double the last digit of the number, 3 × 2 = 6.
2) Subtract the result from the remaining digits, 54 - 6 = 48.
3) 48 is not a multiple of 362, and checking the division: 543 ÷ 362 ≈ 1.5, which is not a whole number. Therefore, 543 is not divisible by 362.
Problem 5
Check the divisibility rule of 362 for 2172.
Yes, 2172 is divisible by 362.
Explanation
To confirm if 2172 is divisible by 362:
1) Double the last digit of the number, 2 × 2 = 4.
2) Subtract the result from the remaining digits, 217 - 4 = 213.
3) 213 is not a multiple of 362, but checking the division: 2172 ÷ 362 = 6. Therefore, 2172 is divisible by 362.
FAQs on Divisibility Rule of 362
1.What is the divisibility rule for 362?
2.How many numbers are there between 1 and 2000 that are divisible by 362?
3.Is 724 divisible by 362?
4.What if I get a remainder after dividing?
5.Does the divisibility rule of 362 apply to all integers?
Important Glossaries for Divisibility Rule of 362
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not without performing full division.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 362 are 362, 724, 1086, etc.
- Remainder: The amount left over after division when one number does not divide the other exactly.
- Integer: A whole number that can be positive, negative, or zero.
- Division: The operation of dividing a number into equal parts or groups.
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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.
