193 LearnersLast updated on May 26th, 2025
Divisibility Rule of 393
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 393.
What is the Divisibility Rule of 393?
The divisibility rule for 393 is a method by which we can find out if a number is divisible by 393 or not without using the division method.
Check whether 786 is divisible by 393 with the divisibility rule.
Step 1: Multiply the last digit of the number by 2, here in 786, 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., 78 - 12 = 66.
Step 3: Since 66 is not a multiple of 393, the number is not divisible by 393. If the result from step 2 is a multiple of 393, then the number is divisible by 393.
Tips and Tricks for Divisibility Rule of 393
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 393.
- Know the multiples of 393: Memorize the multiples of 393 to quickly check divisibility. If the result from the subtraction is a multiple of 393, then the number is divisible by 393.
- Use the 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 393.
For example: Check if 1572 is divisible by 393 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, 157 - 4 = 153. Still, 153 is a large number, hence we repeat the process again: multiply the last digit by 2, 3 × 2 = 6.
Now, subtracting 6 from the remaining numbers excluding the last digit, 15 - 6 = 9. Since 9 is not a multiple of 393, 1572 is not divisible by 393.
- 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 verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 393
The divisibility rule of 393 helps us quickly check if a given number is divisible by 393, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes that will help you avoid them.
Mistake 1
Not following the correct steps.
Students should follow the correct steps, which 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 393.
Mistake 2
Including the last digit in subtraction.
Students 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 getting a large number as a result after subtraction. The process should be repeated until we get the smallest number that is divisible by 393.
Mistake 4
Not considering negative values.
Students should consider negative values as positive when checking for divisibility, as the divisibility rule applies to negative values too.
Mistake 5
Confusing the steps.
Students often confuse or forget the steps. To avoid this error, students should practice regularly.
Divisibility Rule of 393 Examples
Problem 1
Is 1179 divisible by 393?
Yes, 1179 is divisible by 393.
Explanation
To determine if 1179 is divisible by 393, we can use the divisibility rule specific to this number:
1) Divide 1179 by 393 directly to see if it results in a whole number.
2) 1179 ÷ 393 = 3, which is a whole number.
Therefore, 1179 is divisible by 393.
Problem 2
Check the divisibility rule of 393 for 786.
No, 786 is not divisible by 393.
Explanation
To check if 786 is divisible by 393, use the following method:
1) Divide 786 by 393 directly.
2) 786 ÷ 393 = 2, which results in a whole number.
However, upon further analysis, 2 x 393 = 786, confirming that 786 is indeed divisible by 393.
Problem 3
Is -1179 divisible by 393?
Yes, -1179 is divisible by 393.
Explanation
When checking for divisibility of a negative number, remove the negative sign and proceed:
1) Consider the positive equivalent, 1179.
2) Divide 1179 by 393, which equals 3, a whole number.
Therefore, -1179 is divisible by 393.
Problem 4
Can 395 be divisible by 393 following the divisibility rule?
No, 395 is not divisible by 393.
Explanation
Check the divisibility of 395 by 393:
1) Divide 395 by 393 directly.
2) 395 ÷ 393 = 1.005, which is not a whole number.
Thus, 395 is not divisible by 393.
Problem 5
Check the divisibility rule of 393 for 1572.
Yes, 1572 is divisible by 393.
Explanation
To verify if 1572 is divisible by 393:
1) Divide 1572 by 393.
2) 1572 ÷ 393 = 4, which is a whole number.
Therefore, 1572 is divisible by 393.
FAQs on Divisibility Rule of 393
1.What is the divisibility rule for 393?
2.How many numbers between 1 and 1000 are divisible by 393?
3.Is 1572 divisible by 393?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 393 apply to all integers?
6.How can children in Qatar use numbers in everyday life to understand Divisibility Rule of 393?
7.What are some fun ways kids in Qatar can practice Divisibility Rule of 393 with numbers?
8.What role do numbers and Divisibility Rule of 393 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Divisibility Rule of 393 skills?
Important Glossaries for Divisibility Rule of 393
- Divisibility rule: A set of rules used to find out whether a number is divisible by another number or not.
- Multiples: The results we get after multiplying a number by an integer. For example, multiples of 393 are 393, 786, 1179, etc.
- Integers: Numbers that include all whole numbers, negative numbers, and zero.
- Subtraction: The process of finding the difference between two numbers by reducing one number from another.
- Verification: The process of using an alternative method, such as division, to confirm the result obtained from the divisibility rule.
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About BrightChamps in Qatar
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.
