214 LearnersLast updated on May 26th, 2025
Divisibility Rule of 357
The divisibility rule is a way to determine 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 357.
What is the Divisibility Rule of 357?
The divisibility rule for 357 is a method by which we can find out if a number is divisible by 357 without using the division method. Check whether 1071 is divisible by 357 with the divisibility rule.
Step 1: First, check divisibility by 3. Add the digits of the number, here in 1071, 1+0+7+1=9. Since 9 is divisible by 3, 1071 satisfies this condition.
Step 2: Next, check divisibility by 5. The last digit of 1071 is 1, which is not 0 or 5. Therefore, 1071 is not divisible by 5, and thus not by 357.
Step 3: Since 1071 is not divisible by 5, it cannot be divisible by 357.
Tips and Tricks for Divisibility Rule of 357
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 357.
Know the multiples of 357:
Memorize some multiples of 357 (357, 714, 1071, etc.) to quickly check divisibility. If the number matches a known multiple of 357, it is divisible by 357.
Check divisibility by individual factors:
Ensure the number is divisible by each factor of 357 (3, 5, and 7) to confirm divisibility.
Repeat the process for large numbers:
Students should keep repeating the divisibility process for each factor until they reach a conclusion. For example, if a number is not divisible by one of the factors, it is not divisible by 357.
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 357
The divisibility rule of 357 helps us quickly check if a given number is divisible by 357, but common mistakes like calculation errors lead to incorrect conclusions. 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, ensuring to check divisibility by 3, 5, and 7.
Mistake 2
Forgetting to check all factors.
Students should remember to check all factors of 357, not just one or two.
Mistake 3
Not repeating the process for confirmation.
Students often stop the process after checking one factor. The process should be repeated for all relevant factors.
Mistake 4
Confusing divisibility with one factor as sufficient.
Students should understand that divisibility by 357 requires divisibility by 3, 5, and 7 simultaneously.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them. To avoid this error, students should practice regularly.
Divisibility Rule of 357 Examples
Problem 1
Is 3570 divisible by 357?
Yes, 3570 is divisible by 357.
Explanation
To check divisibility by 357, follow these steps:
1) Check if the last three digits (570) form a number divisible by 357.
2) Divide 570 by 357 to see if it results in a whole number.
3) 570 ÷ 357 = 1.597, which is not a whole number.
4) However, since the entire number 3570 is a multiple of 357, it is divisible.
Problem 2
Check if 714 is divisible by 357.
Yes, 714 is divisible by 357.
Explanation
To determine if 714 is divisible by 357:
1) Divide the entire number 714 by 357.
2) 714 ÷ 357 = 2, which is a whole number.
3) Therefore, 714 is divisible by 357.
Problem 3
Is -1428 divisible by 357?
Yes, -1428 is divisible by 357.
Explanation
For negative numbers, check the divisibility by ignoring the negative sign:
1) Consider 1428 and divide it by 357.
2) 1428 ÷ 357 = 4, which is a whole number.
3) Therefore, -1428 is divisible by 357, as 1428 is a multiple of 357.
Problem 4
Can 1234 be divisible by 357 following the divisibility rule?
No, 1234 isn't divisible by 357.
Explanation
To check if 1234 is divisible by 357:
1) Divide 1234 by 357.
2) 1234 ÷ 357 ≈ 3.457, which is not a whole number.
3) Therefore, 1234 is not divisible by 357.
Problem 5
Check the divisibility of 1785 by 357.
Yes, 1785 is divisible by 357.
Explanation
To check the divisibility of 1785 by 357:
1) Divide 1785 by 357.
2) 1785 ÷ 357 = 5, which is a whole number.
3) Therefore, 1785 is divisible by 357.
FAQs on Divisibility Rule of 357
1.What is the divisibility rule for 357?
2.How many numbers are there between 1 and 1000 that are divisible by 357?
3.Is 1071 divisible by 357?
4.What if a number is divisible by only one factor?
5.Does the divisibility rule of 357 apply to all integers?
6.How can children in United States use numbers in everyday life to understand Divisibility Rule of 357?
7.What are some fun ways kids in United States can practice Divisibility Rule of 357 with numbers?
8.What role do numbers and Divisibility Rule of 357 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 357 skills?
Important Glossaries for Divisibility Rule of 357
- Divisibility Rule: The set of rules used to find out whether a number is divisible by another number or not.
- Multiples: Multiples are the results we get after multiplying a number by an integer. For example, multiples of 357 are 357, 714, 1071, etc.
- Factors: Factors are numbers that divide another number completely without leaving a remainder. For 357, its factors are 3, 5, and 7.
- Integer: Integers are 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, used in some divisibility checks.
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About BrightChamps in United States
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.
