194 LearnersLast updated on May 26th, 2025
Divisibility Rule of 773
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 773.
What is the Divisibility Rule of 773?
The divisibility rule for 773 is a method by which we can find out if a number is divisible by 773 or not without using the division method. Check whether 1546 is divisible by 773 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 1546, 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., 154–12 = 142.
Step 3: As it is shown that 142 is not a multiple of 773, therefore, the number is not divisible by 773. If the result from Step 2 were a multiple of 773, then the number would be divisible by 773.
Tips and Tricks for Divisibility Rule of 773
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 773.
- Know the multiples of 773:
Memorize the multiples of 773 (773, 1546, 2319, etc.) to quickly check divisibility. If the result from the subtraction is a multiple of 773, then the number is divisible by 773.
- Use the 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 773.
For example: Check if 3092 is divisible by 773 using the divisibility test.
Multiply the last digit by 2, i.e., 2 × 2 = 4.
Subtract the remaining digits excluding the last digit by 4, 309–4 = 305.
Since 305 is still a large number, repeat the process: multiply the last digit by 2, 5 × 2 = 10.
Subtract 10 from the remaining numbers excluding the last digit, 30–10 = 20.
Since 20 is not a multiple of 773, 3092 is not divisible by 773.
- 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 773
The divisibility rule of 773 helps us to quickly check if the given number is divisible by 773, but common mistakes like calculation errors lead to incorrect results. 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 are 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 773.
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 number to result in after subtraction. The process should be repeated until we get the smallest number that is divisible by 773.
Mistake 4
Not considering the negative values.
Students consider the negative values thinking divisibility rules don't apply to 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 773 Examples
Problem 1
Is 1546 divisible by 773?
No, 1546 is not divisible by 773.
Explanation
To check if 1546 is divisible by 773, we can perform division directly since the divisibility rule for 773 is complex. When 1546 is divided by 773, the quotient is 2 with a remainder of 0, indicating it's not divisible by 773.
Problem 2
Check the divisibility rule of 773 for 7730.
Yes, 7730 is divisible by 773.
Explanation
We can divide 7730 by 773 directly. The quotient is 10 with no remainder, proving that 7730 is divisible by 773.
Problem 3
Is -1546 divisible by 773?
No, -1546 is not divisible by 773.
Explanation
First, we take the absolute value and check divisibility for 1546, as negative signs do not affect divisibility. Dividing 1546 by 773 gives a quotient of 2 with a remainder, showing -1546 is not divisible by 773.
Problem 4
Can 77300 be divisible by 773 following the divisibility rule?
Yes, 77300 is divisible by 773.
Explanation
To check if 77300 is divisible by 773, perform the division. The quotient is 100 with no remainder, indicating 77300 is divisible by 773.
Problem 5
Check the divisibility rule of 773 for 5461.
No, 5461 is not divisible by 773.
Explanation
Dividing 5461 by 773 gives a quotient of 7 with a remainder, showing that 5461 is not divisible by 773.
FAQs on Divisibility Rule of 773
1.What is the divisibility rule for 773?
2.How many numbers are there between 1 and 5000 that are divisible by 773?
3.Is 1546 divisible by 773?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 773 apply to all the integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 773?
7.What are some fun ways kids in United States can practice Divisibility Rule of 773 with numbers?
8.What role do numbers and Divisibility Rule of 773 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Divisibility Rule of 773 skills?
Important Glossaries for Divisibility Rule of 773
- 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 773 are 773, 1546, 2319, etc.
- Integers: Integers are the numbers that include all the 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: Verification is the process of confirming the correctness of a result, often by using an alternative method like division to check divisibility.
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