213 LearnersLast updated on May 26th, 2025
Divisibility Rule of 763
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 763.
What is the Divisibility Rule of 763?
The divisibility rule for 763 is a method by which we can find out if a number is divisible by 763 or not without using the division method. Let's check whether 1526 is divisible by 763 using the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 1526, 6 is the last digit. Multiply it by 2. 6 × 2 = 12.
Step 2: Subtract the result from Step 1 from the remaining values but do not include the last digit. i.e., 152 - 12 = 140.
Step 3: As it is shown that 140 is a multiple of 763, therefore, the number is divisible by 763. If the result from step 2 isn't a multiple of 763, then the number isn't divisible by 763.
Tips and Tricks for Divisibility Rule of 763
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 763.
- Know the multiples of 763: Memorize the multiples of 763 (763, 1526, 2289, etc.) to quickly check the divisibility. If the result from the subtraction is a multiple of 763, then the number is divisible by 763.
- Use negative numbers: If the result we get after the subtraction is negative, we will avoid 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 763.
For example: Check if 22890 is divisible by 763 using the divisibility test.
Multiply the last digit by 2, i.e., 0 × 2 = 0.
Subtract the remaining digits excluding the last digit from 0, 2289 - 0 = 2289.
Still, 2289 is a large number, hence we will repeat the process again and multiply the last digit by 2, 9 × 2 = 18.
Now subtract 18 from the remaining numbers excluding the last digit, 228 - 18 = 210.
As 210 is not a multiple of 763, 22890 is not divisible by 763.
- Use the division method to verify: Students can use the division method as a way to verify and crosscheck their results. This will help them to verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 763
The divisibility rule of 763 helps us to quickly check if the given number is divisible by 763, but common mistakes like calculation errors lead to incorrect conclusions. Here we will understand some common mistakes that will help you to understand.
Mistake 1
Not following the correct steps.
Students should follow the correct steps that involve multiplying the last digit by 2 and then subtracting the result from the remaining digits excluding the last digit and checking whether it is a multiple of 763.
Mistake 2
Including the last digit in subtraction.
Students should keep in mind that they should exclude the last digit while subtracting and include all the remaining digits.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have got a large result after subtraction. The process should be repeated until we get the smallest number that is divisible by 763.
Mistake 4
Not considering the negative values.
Students consider the negative values thinking divisibility rules don't apply to the negative values. But the divisibility rule is applicable for negative values too. So students should consider the negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget the steps; to avoid the error, students should practice regularly.
Divisibility Rule of 763 Examples
Problem 1
Is 229,719 divisible by 763?
Yes, 229,719 is divisible by 763.
Explanation
To determine divisibility by 763, follow these steps:
1) Multiply the last digit by 3, 9 × 3 = 27.
2) Subtract the result from the remaining number, 22,971 - 27 = 22,944.
3) If the result is still large, repeat the process: 4 × 3 = 12.
4) Subtract again, 2,294 - 12 = 2,282.
5) Finally, multiply the last digit by 3, 2 × 3 = 6.
6) Subtract, 228 - 6 = 222.
7) Check if 222 is a multiple of 763. Yes, 222 is a multiple of 763 (763 × 0.291 = 222).
Problem 2
Check the divisibility rule of 763 for 153,906.
No, 153,906 is not divisible by 763.
Explanation
Follow these steps:
1) Multiply the last digit by 3, 6 × 3 = 18.
2) Subtract the result from the remaining number, 15,390 - 18 = 15,372.
3) Repeat: 2 × 3 = 6.
4) Subtract, 1,537 - 6 = 1,531.
5) Check if 1,531 is a multiple of 763. No, 1,531 is not a multiple of 763.
Problem 3
Is -458,596 divisible by 763?
No, -458,596 is not divisible by 763.
Explanation
Remove the negative sign and check divisibility:
1) Multiply the last digit by 3, 6 × 3 = 18.
2) Subtract from the remaining digits, 45,859 - 18 = 45,841.
3) Repeat: 1 × 3 = 3.
4) Subtract, 4,584 - 3 = 4,581.
5) Check if 4,581 is a multiple of 763. No, 4,581 is not a multiple of 763.
Problem 4
Can 763 be divisible by itself following the divisibility rule?
Yes, 763 is divisible by 763.
Explanation
Any number is divisible by itself.
1) Multiply the last digit by 3, 3 × 3 = 9.
2) Subtract from the remaining digits, 76 - 9 = 67.
3) Check if 67 is a multiple of 763. Yes, 67 is 0 times 763.
Problem 5
Check the divisibility rule of 763 for 1,526.
Yes, 1,526 is divisible by 763.
Explanation
Follow these steps:
1) Multiply the last digit by 3, 6 × 3 = 18.
2) Subtract from the remaining digits, 152 - 18 = 134.
3) Check if 134 is a multiple of 763. Yes, 134 is 0.1757 times 763, making 1,526 divisible by 763.
FAQs on Divisibility Rule of 763
1.What is the divisibility rule for 763?
2.How many numbers are there between 1 and 1000 that are divisible by 763?
3.Is 1526 divisible by 763?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 763 apply to all the integers?
6.How can children in Oman use numbers in everyday life to understand Divisibility Rule of 763?
7.What are some fun ways kids in Oman can practice Divisibility Rule of 763 with numbers?
8.What role do numbers and Divisibility Rule of 763 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Divisibility Rule of 763 skills?
Important Glossaries for Divisibility Rule of 763
- Divisibility rule: The set of rules used to find out whether a number is divisible by another number or not. For example, a number is divisible by 2 if the number ends with even numbers.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 763 are 763, 1526, 2289, etc.
- Integers: Integers are numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: Subtraction is a process of finding out the difference between two numbers, by reducing one number from another.
- Verification: The process of confirming the correctness of a calculation, often using a different method such as division to ensure accuracy.
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About BrightChamps in Oman
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.
