183 LearnersLast updated on May 26th, 2025
Divisibility Rule of 712
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 712.
What is the Divisibility Rule of 712?
The divisibility rule for 712 is a method by which we can find out if a number is divisible by 712 or not without using the division method. Check whether 4272 is divisible by 712 with the divisibility rule.
Step 1: Separate the last three digits of the number, here in 4272, 272 is the last three digits.
Step 2: Subtract the last three digits from the remaining part of the number. i.e., 4 - 272 = -268.
Step 3: If the result from step 2 is a multiple of 712 or zero, then the number is divisible by 712. If the result is not a multiple of 712, then the number isn't divisible by 712.
Tips and Tricks for Divisibility Rule of 712
Learn the divisibility rule to help master division. Let’s learn a few tips and tricks for the divisibility rule of 712.
Know the multiples of 712:
Memorize the multiples of 712 (712, 1424, 2136, 2848…etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 712, then the number is divisible by 712.
Use absolute values:
If the result we get after the subtraction is negative, we will consider its absolute value for checking the divisibility of a number.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that is easily checked for divisibility by 712. For example: Check if 7128 is divisible by 712 using the divisibility test.
Separate the last three digits, i.e., 128. Subtract the remaining digits from 128, 7 - 128 = -121.
Since -121 is not easily checked for divisibility by 712, repeat the process with smaller numbers if necessary.
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 712
The divisibility rule of 712 helps us to quickly check if a given number is divisible by 712, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, which involve separating the last three digits and subtracting them from the remaining digits, and then checking whether the result is a multiple of 712.
Mistake 2
Including the last three digits in subtraction incorrectly.
Students should keep in mind that they should exclude the last three digits while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is unclear.
Students often stop the process after obtaining a large or unclear result. The process should be repeated until we get the smallest number that is clearly divisible by 712.
Mistake 4
Ignoring negative results.
Students should consider the absolute value of negative results when checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them. To avoid errors, students should practice regularly.
Divisibility Rule of 712 Examples
Problem 1
Is 2848 divisible by 712?
Yes, 2848 is divisible by 712.
Explanation
To check if 2848 is divisible by 712, consider:
1) Break down the number into parts that can be easily checked.
2) Recognize that 2848 = 712 × 4.
3) Therefore, 2848 is divisible by 712 since it is a direct multiple.
Problem 2
Check the divisibility rule of 712 for 5680.
No, 5680 is not divisible by 712.
Explanation
For checking the divisibility rule of 712 for 5680:
1) Divide 5680 by 712.
2) The quotient is not a whole number.
3) Therefore, 5680 is not divisible by 712.
Problem 3
Is -1424 divisible by 712?
Yes, -1424 is divisible by 712.
Explanation
To check if -1424 is divisible by 712:
1) Remove the negative sign and check 1424.
2) Divide 1424 by 712, yielding a quotient of 2.
3) Thus, -1424 is divisible by 712.
Problem 4
Can 2136 be divisible by 712 following the divisibility rule?
No, 2136 isn't divisible by 712.
Explanation
To check if 2136 is divisible by 712:
1) Divide 2136 by 712.
2) The result is not a whole number.
3) Therefore, 2136 is not divisible by 712.
Problem 5
Check the divisibility rule of 712 for 4976.
Yes, 4976 is divisible by 712.
Explanation
To check the divisibility rule of 712 for 4976:
1) Divide 4976 by 712.
2) The quotient is 7, which is a whole number.
3) Thus, 4976 is divisible by 712.
FAQs on Divisibility Rule of 712
1.What is the divisibility rule for 712?
2.How many numbers between 1 and 10,000 are divisible by 712?
3.Is 2848 divisible by 712?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 712 apply to all integers?
6.How can children in United Arab Emirates use numbers in everyday life to understand Divisibility Rule of 712?
7.What are some fun ways kids in United Arab Emirates can practice Divisibility Rule of 712 with numbers?
8.What role do numbers and Divisibility Rule of 712 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Divisibility Rule of 712 skills?
Important Glossaries for Divisibility Rule of 712
- Divisibility rule: A set of rules used to determine whether a number is divisible by another number without performing full division.
- Multiple: The result obtained when a number is multiplied by an integer. For example, multiples of 712 are 712, 1424, 2136, 2848, etc.
- Integer: A whole number that includes positive numbers, negative numbers, and zero.
- Subtraction: The process of finding the difference between two numbers by reducing one number from another.
- Absolute value: The non-negative value of a number without regard to its sign.
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About BrightChamps in United Arab Emirates
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.
