194 LearnersLast updated on May 26th, 2025
Divisibility Rule of 724
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 724.
What is the Divisibility Rule of 724?
The divisibility rule for 724 is a method by which we can find out if a number is divisible by 724 or not without using the division method. Check whether 1448 is divisible by 724 using the divisibility rule.
Step 1: Divide the number into two equal halves. Here, in 1448, the two halves are 14 and 48.
Step 2: Check if both halves are divisible by half of 724, which is 362.
Step 3: Since neither 14 nor 48 is divisible by 362, 1448 is not divisible by 724.
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Tips and Tricks for Divisibility Rule of 724
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 724.
Know the multiples of 724:
Memorize the multiples of 724 (724, 1448, 2172, 2896, etc.) to quickly check divisibility.
Use approximation:
If you cannot quickly divide by 362, approximate it to 360 and check for rough divisibility.
Repeat the process for large numbers:
For large numbers, break them into smaller parts and test each part separately.
Common Mistakes and How to Avoid Them in Divisibility Rule of 724
The divisibility rule of 724 helps us quickly check if a number is divisible by 724, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not dividing the number into equal halves.
Ensure the number is split evenly before checking divisibility.
Mistake 2
Incorrectly calculating half of 724.
Remember, half of 724 is 362, and use this in your calculations.
Mistake 3
Not checking both halves for divisibility.
Verify that both parts are divisible by 362 for the rule to apply.
Mistake 4
Confusing the steps.
Students often confuse the steps or forget them. Practice regularly to avoid this error.
Mistake 5
Overlooking the use of the division method.
Use the division method to verify results and ensure accuracy.
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Divisibility Rule of 724 Examples
Problem 1
Is 2172 divisible by 724?
Yes, 2172 is divisible by 724.
Explanation
To check if 2172 is divisible by 724, we divide 2172 by 724.
1) 2172 ÷ 724 = 3.
2) The result is an integer, so 2172 is divisible by 724.
Problem 2
Check the divisibility rule of 724 for 1448.
No, 1448 is not divisible by 724.
Explanation
To determine if 1448 is divisible by 724, we divide 1448 by 724.
1) 1448 ÷ 724 = 2.
2) The result is an integer, but with no remainder, it would be divisible, but here the operation does not leave a remainder zero, so it does not satisfy the conditions.
Problem 3
Is -724 divisible by 724?
Yes, -724 is divisible by 724.
Explanation
To check if -724 is divisible by 724, we ignore the negative sign and divide:
1) 724 ÷ 724 = 1.
2) The result is an integer, so -724 is divisible by 724.
Problem 4
Can 362 be divisible by 724 following the divisibility rule?
No, 362 isn't divisible by 724.
Explanation
To check if 362 is divisible by 724, we divide 362 by 724.
1) 362 ÷ 724 = 0.5.
2) The result is not an integer, so 362 is not divisible by 724.
Problem 5
Check the divisibility rule of 724 for 7240.
Yes, 7240 is divisible by 724.
Explanation
To verify if 7240 is divisible by 724, we divide 7240 by 724.
1) 7240 ÷ 724 = 10.
2) The result is an integer, so 7240 is divisible by 724.
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FAQs on Divisibility Rule of 724
1.What is the divisibility rule for 724?
2.How many numbers are there between 1 and 5000 that are divisible by 724?
3.Is 2172 divisible by 724?
4.What if I get 0 after division?
5.Does the divisibility rule of 724 apply to all integers?
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Important Glossaries for Divisibility Rule of 724
- Divisibility rule: A set of guidelines to determine if one number is divisible by another without performing division.
- Multiples: Results obtained by multiplying a number by integers. For example, multiples of 724 are 724, 1448, 2172, etc.
- Integers: Numbers including all whole numbers, negative numbers, and zero.
- Approximation: Estimating a number to simplify calculations, often used in divisibility checks.
- Division: A mathematical operation where a number is evenly distributed into equal parts.
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