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127 LearnersLast updated on February 24th, 2025
Divisibility Rule of 757
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 757.
What is the Divisibility Rule of 757?
The divisibility rule for 757 is a method by which we can determine if a number is divisible by 757 without using the division method. Check whether 2271 is divisible by 757 with the divisibility rule.
Step 1: Multiply the last two digits of the number by the appropriate factor that results in a multiple of 757 when subtracted from the rest of the number. Here in 2271, 71 is the last two digits, and let's assume we multiply it by a factor, say 'X'.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last two digits. i.e., 22 - (71 × X) = Result.
Step 3: Check if the result from Step 2 is a multiple of 757. If it is, then the number is divisible by 757. If the result from step 2 isn't a multiple of 757, then the number isn't divisible by 757.
Tips and Tricks for Divisibility Rule of 757
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 757.
Know the multiples of 757:
Memorize the multiples of 757 (757, 1514, 2271, 3028, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 757, then the number is divisible by 757.
Use negative numbers:
If the result we get after the subtraction is negative, we will ignore the symbol and consider it as positive 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 divisible by 757.
For example: Check if 6803 is divisible by 757 using the divisibility test. Multiply the last two digits by the appropriate factor, e.g., 03 × X. Subtract the remaining digits excluding the last two digits by 03 × X, i.e., 68 - (03 × X) = Result. If necessary, repeat the process until the result is a multiple of 757.
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 757
The divisibility rule of 757 helps us quickly check if the given number is divisible by 757, but common mistakes like calculation errors can lead to incorrect results. Here are some common mistakes and solutions:
Mistake 1
Not following the correct steps.
Students should follow the correct steps, including multiplying the last two digits by the appropriate factor and then subtracting from the remaining digits excluding the last two digits, checking whether it is a multiple of 757
Divisibility Rule of 757 Examples
Problem 1
Is 757,000 divisible by 757?
Yes, 757,000 is divisible by 757.
Explanation
To check the divisibility of 757,000 by 757:
1) Remove the last three zeros to simplify the number to 757.
2) Since 757 is equal to 757, 757 is clearly divisible by 757.
Problem 2
Check the divisibility rule of 757 for 1,514.
Yes, 1,514 is divisible by 757.
Explanation
For checking the divisibility of 1,514 by 757:
1) Divide 1,514 by 757, which equals 2 with no remainder.
2) Since there is no remainder, 1,514 is divisible by 757.
Problem 3
Is -1,514 divisible by 757?
Yes, -1,514 is divisible by 757.
Explanation
To check if -1,514 is divisible by 757:
1) Consider the positive form, 1,514.
2) Divide 1,514 by 757, resulting in 2 with no remainder.
3) Therefore, -1,514 is also divisible by 757.
Problem 4
Can 758 be divisible by 757 following the divisibility rule?
No, 758 isn't divisible by 757.
Explanation
To check if 758 is divisible by 757:
1) Divide 758 by 757, which equals 1 with a remainder of 1.
2) Since there is a remainder, 758 is not divisible by 757.
Problem 5
Check the divisibility rule of 757 for 757,757.
Yes, 757,757 is divisible by 757.
Explanation
To check the divisibility of 757,757 by 757:
1) Divide 757,757 by 757, which equals 1,001 with no remainder.
2) Since there is no remainder, 757,757 is divisible by 757.
FAQs on Divisibility Rule of 757
1.What is the divisibility rule for 757?
2.How many numbers are there between 1 and 5000 that are divisible by 757?
3.Is 2271 divisible by 757?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 757 apply to all integers?
Important Glossary for Divisibility Rule of 757
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Results obtained after multiplying a number by an integer. For example, multiples of 757 are 757, 1514, 2271, etc.
- Integers: Numbers that include all the whole numbers, negative numbers, and zero.
- Subtraction: A process of finding the difference between two numbers by reducing one number from another.
- Factor: A number by which another number is multiplied to obtain a specific result.
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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.
