217 LearnersLast updated on May 26th, 2025
Divisibility Rule of 350
The divisibility rule is a way to determine whether a number is divisible by another number without performing the actual division. In real life, we can use divisibility rules for quick calculations, evenly distributing items, and organizing data. In this topic, we will learn about the divisibility rule of 350.
What is the Divisibility Rule of 350?
The divisibility rule for 350 is a method by which we can determine if a number is divisible by 350 without performing division. To check whether a number, say 2450, is divisible by 350, we can use the following steps:
Step 1: Check if the number is divisible by 2, 5, and 7, as 350 = 2 × 5 × 7.
Step 2: For divisibility by 2, the last digit of the number should be even. In 2450, the last digit is 0, which is even.
Step 3: For divisibility by 5, the last digit should be 0 or 5. In 2450, the last digit is 0.
Step 4: For divisibility by 7, there are several methods, but one of the simplest is to divide the number by 7 directly or use a known divisibility rule for 7. For 2450, dividing by 7 gives a whole number (350).
Since 2450 is divisible by 2, 5, and 7, it is therefore divisible by 350.
Tips and Tricks for Divisibility Rule of 350
Learning divisibility rules can help students master division. Let’s explore a few tips and tricks for the divisibility rule of 350.
Know the factors:
Recognize that 350 is the product of 2, 5, and 7. Check divisibility by each of these numbers to determine divisibility by 350.
Use known rules:
Familiarize yourself with the divisibility rules for 2, 5, and 7 individually to quickly evaluate divisibility by 350.
Check divisibility in parts:
If a number is large, break it down and check divisibility by each factor separately.
Memorize multiples:
Knowing multiples of 350, such as 350, 700, 1050, can help quickly identify divisible numbers.
Verify with division:
Use the division method to verify and confirm the results of the divisibility rule.
Common Mistakes and How to Avoid Them in Divisibility Rule of 350
The divisibility rule of 350 helps quickly determine if a given number is divisible by 350, but mistakes can lead to incorrect results. Here are some common mistakes and how to avoid them.
Mistake 1
Not checking all factors.
Always verify divisibility by 2, 5, and 7 to ensure divisibility by 350.
Mistake 2
Incorrect calculation for individual factors.
Ensure calculations for 2, 5, and 7 are accurate and follow the correct steps.
Mistake 3
Confusing the divisibility rules.
Practice regularly to remember the rules for 2, 5, and 7.
Mistake 4
Ignoring large numbers.
For large numbers, verify divisibility by each factor and simplify the process.
Mistake 5
Forgetting to verify.
Double-check results using division to confirm divisibility.
Divisibility Rule of 350 Examples
Problem 1
Is 2450 divisible by 350?
Yes, 2450 is divisible by 350.
Explanation
To determine if 2450 is divisible by 350, check the divisibility by both 2, 5, and 7:
1) The number ends in 0, so it is divisible by both 2 and 5.
2) Sum the digits of the number: 2 + 4 + 5 + 0 = 11. This is not directly divisible by 7, but we perform the divisibility check by subtracting twice the last digit from the rest: 245 - 0 = 245, and then 24 - 10 = 14. Since 14 is a multiple of 7, 2450 is divisible by 350.
Problem 2
Check the divisibility rule of 350 for 7000.
Yes, 7000 is divisible by 350.
Explanation
For 7000 to be divisible by 350, it must be divisible by 2, 5, and 7:
1) The number ends in 0, so it is divisible by both 2 and 5.
2) For divisibility by 7, subtract twice the last digit from the rest: 700 - 0 = 700, and then 70 - 0 = 70. Since 70 is a multiple of 7, 7000 is divisible by 350.
Problem 3
Is 490 divisible by 350?
No, 490 is not divisible by 350.
Explanation
To check if 490 is divisible by 350, it must be divisible by 2, 5, and 7:
1) The number ends in 0, making it divisible by both 2 and 5.
2) For divisibility by 7, subtract twice the last digit from the rest: 49 - 0 = 49. Since 49 is a multiple of 7, 490 meets the divisibility criteria for 7.
However, since 490 is not the result of multiplying 350 by an integer, it is not divisible by 350.
Problem 4
Can 28000 be divisible by 350 following the divisibility rule?
Yes, 28000 is divisible by 350.
Explanation
To verify if 28000 is divisible by 350, ensure it is divisible by 2, 5, and 7:
1) It ends in 0, meaning it is divisible by both 2 and 5.
2) For divisibility by 7, subtract twice the last digit from the rest: 2800 - 0 = 2800, and then 280 - 0 = 280. Since 280 is a multiple of 7, 28000 is divisible by 350.
Problem 5
Is 175 divisible by 350?
No, 175 is not divisible by 350.
Explanation
To determine if 175 is divisible by 350, it must satisfy divisibility by 2, 5, and 7:
1) The number ends in 5, so it is only divisible by 5.
2) 175 is not divisible by 2 since it does not end in an even number.
3) For divisibility by 7, subtract twice the last digit from the rest: 17 - 10 = 7. While 7 is a multiple of 7, since 175 does not meet the criteria for divisibility by 2 and is not the result of multiplying 350 by an integer, it is not divisible by 350.
FAQs on Divisibility Rule of 350
1.What is the divisibility rule for 350?
2.How can you check if a number is divisible by 350?
3.Is 700 divisible by 350?
4.What if a number is divisible by only one or two of the factors?
5.Does the divisibility rule of 350 apply to all integers?
6.How can children in Bahrain use numbers in everyday life to understand Divisibility Rule of 350?
7.What are some fun ways kids in Bahrain can practice Divisibility Rule of 350 with numbers?
8.What role do numbers and Divisibility Rule of 350 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 350 skills?
Important Glossaries for Divisibility Rule of 350
- Divisibility Rule: A guideline to determine if a number can be divided by another without a remainder.
- Factors: Numbers that are multiplied together to get another number. For 350, these are 2, 5, and 7.
- Multiples: Numbers obtained by multiplying the original number with integers, such as multiples of 350 (350, 700, 1050, etc.).
- Even Number: A number divisible by 2 with no remainder.
- Verification: The process of confirming a result using a different method, such as division.
- Divisibility Rule: A guideline to determine if a number can be divided by another without a remainder.
- Factors: Numbers that are multiplied together to get another number. For 350, these are 2, 5, and 7.
- Multiples: Numbers obtained by multiplying the original number with integers, such as multiples of 350 (350, 700, 1050, etc.).
- Even Number: A number divisible by 2 with no remainder.
- Verification: The process of confirming a result using a different method, such as division.
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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.
