186 LearnersLast updated on May 26th, 2025
Divisibility Rule of 351
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 351.
What is the Divisibility Rule of 351?
The divisibility rule for 351 is a method by which we can find out if a number is divisible by 351 or not without using the division method. Check whether 1053 is divisible by 351 with the divisibility rule.
Step 1: The number 351 can be factored into 3, 9, and 13. Apply the divisibility rules for these factors sequentially to the number.
Step 2: Check if 1053 is divisible by 3. A number is divisible by 3 if the sum of its digits is divisible by 3. For 1053, 1+0+5+3=9, and 9 is divisible by 3.
Step 3: Check if 1053 is divisible by 9. A number is divisible by 9 if the sum of its digits is divisible by 9. Again, 1+0+5+3=9, and 9 is divisible by 9.
Step 4: Check if 1053 is divisible by 13. A number is divisible by 13 if you double the last digit and subtract it from the rest of the number, and the result is a multiple of 13. For 1053, double 3 to get 6, and subtract from 105, which gives 99. Since 99 is not divisible by 13, 1053 is not divisible by 351.
Tips and Tricks for Divisibility Rule of 351
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 351.
Know the multiples of the factors:
Memorize the multiples of 3, 9, and 13 to quickly check divisibility. If a number passes all three rules, it is divisible by 351.
Use negative numbers:
If the result from any step is negative, ignore the negative sign and consider it as positive for checking divisibility.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they reach a small number that can be easily checked for divisibility.
Use the division method to verify:
Students can use the division method to verify and crosscheck their results. This helps them verify and also learn.
Common Mistakes and How to Avoid Them in Divisibility Rule of 351
The divisibility rule of 351 helps us quickly check if a given number is divisible by 351, 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, checking divisibility by 3, 9, and 13 in that order.
Mistake 2
Including the last digit incorrectly in calculations.
Students should double the last digit correctly when checking divisibility by 13 and follow subsequent steps carefully.
Mistake 3
Not repeating the process when the result is large.
Students often stop the process after they have a large number. The process should be repeated until you get a small number that can be easily checked.
Mistake 4
Not considering negative values.
Students should consider negative values as positive while checking for divisibility.
Mistake 5
Confusing the steps.
Students often confuse the steps or forget them; to avoid errors, students should practice regularly.
Divisibility Rule of 351 Examples
Problem 1
Is 702 divisible by 351?
Yes, 702 is divisible by 351.
Explanation
To determine if 702 is divisible by 351, follow these steps:
1) Divide 702 by 351 directly to see if the result is an integer.
2) 702 ÷ 351 = 2, which is an integer.
3) Therefore, 702 is divisible by 351.
Problem 2
Check the divisibility rule of 351 for 1053.
Yes, 1053 is divisible by 351.
Explanation
To verify if 1053 is divisible by 351:
1) Divide 1053 by 351.
2) 1053 ÷ 351 = 3, which is an integer.
3) Hence, 1053 is divisible by 351.
Problem 3
Is -351 divisible by 351?
Yes, -351 is divisible by 351.
Explanation
To check if -351 is divisible by 351, consider the absolute value of the number:
1) Divide 351 by 351.
2) 351 ÷ 351 = 1, which is an integer.
3) Therefore, -351 is divisible by 351.
Problem 4
Can 476 be divisible by 351 following the divisibility rule?
No, 476 is not divisible by 351.
Explanation
To determine if 476 is divisible by 351:
1) Divide 476 by 351.
2) 476 ÷ 351 ≈ 1.356, which is not an integer.
3) Therefore, 476 is not divisible by 351.
Problem 5
Check the divisibility rule of 351 for 1404.
Yes, 1404 is divisible by 351.
Explanation
To check if 1404 is divisible by 351:
1) Divide 1404 by 351.
2) 1404 ÷ 351 = 4, which is an integer.
3) Thus, 1404 is divisible by 351.
FAQs on Divisibility Rule of 351
1.What is the divisibility rule for 351?
2.How many numbers are there between 1 and 1000 that are divisible by 351?
3.Is 702 divisible by 351?
4.What if I get 0 after subtracting?
5.Does the divisibility rule of 351 apply to all integers?
6.How can children in Bahrain use numbers in everyday life to understand Divisibility Rule of 351?
7.What are some fun ways kids in Bahrain can practice Divisibility Rule of 351 with numbers?
8.What role do numbers and Divisibility Rule of 351 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Divisibility Rule of 351 skills?
Important Glossary for Divisibility Rule of 351
- Divisibility rule: A set of rules used to find out whether a number is divisible by another number.
- Factors: Numbers that divide another number completely without leaving a remainder.
- Multiples: The results we get after multiplying a number by an integer.
- Subtraction: The process of finding the difference between two numbers by reducing one from another.
- Integer: Numbers that include all whole numbers, negative numbers, and zero.
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About BrightChamps in Bahrain
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.
