208 LearnersLast updated on May 26th, 2025
Divisibility Rule of 245
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 245.
What is the Divisibility Rule of 245?
The divisibility rule for 245 is a method by which we can find out if a number is divisible by 245 or not without using the division method. Check whether 1715 is divisible by 245 with the divisibility rule.
Step 1: Check if the number is divisible by 5. Since 1715 ends in 5, it is divisible by 5.
Step 2: Check if the number is divisible by 7. Follow the divisibility rule for 7. Multiply the last digit by 2, here 5×2=10. Subtract this from the rest of the number: 171−10=161. Repeat the process: 1×2=2, and 16−2=14. Since 14 is a multiple of 7, the number is divisible by 7.
Step 3: Check if the number is divisible by 7 and 5, then it must also be divisible by 49 (since 245=5×49). Use the divisibility rule for 49: Keep subtracting 49 until you reach 0 or a negative number. 1715−49×35=0, so it is divisible by 49.
Since 1715 is divisible by 5, 7, and 49, it is divisible by 245.
Tips and Tricks for Divisibility Rule of 245
Learning the divisibility rule will help kids to master division. Let’s learn a few tips and tricks for the divisibility rule of 245.
Know the multiples of 245:
Memorize the multiples of 245 (245, 490, 735, 980, etc.) to quickly check divisibility. If the number is a multiple of 245, then it is divisible by 245
Use the divisibility rules for 5, 7, and 49:
Since 245=5×49, make sure the number is divisible by 5 and 49. This can simplify the process.
Repeat the process for large numbers:
Students should keep repeating the divisibility process until they confirm divisibility for each factor (5, 7, and 49).
Use the division method to verify:
Students can use the division method 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 245
The divisibility rule of 245 helps us to quickly check if the given number is divisible by 245, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes that will help you to avoid them.
Mistake 1
Not checking divisibility by all factors.
Ensure the number is divisible by 5, 7, and 49.
Mistake 2
Including the last digit in subtraction for the wrong factor.
Follow the correct procedure for each factor. For 7, exclude the last digit initially.
Mistake 3
Not repeating the process for divisibility by 49.
Keep subtracting 49 until you get a remainder of 0 or a negative number.
Mistake 4
Confusing the steps.
Practice regularly to familiarize with the steps for each factor.
Mistake 5
Overlooking divisibility by 5.
Always check divisibility by 5 first, as it is the simplest.
Divisibility Rule of 245 Examples
Problem 1
Is 490 divisible by 245?
Yes, 490 is divisible by 245.
Explanation
To determine if 490 is divisible by 245, apply the divisibility rule:
1) The number 490 needs to be divided by 245 without a remainder.
2) Calculation: 490 ÷ 245 = 2.
3) Since the result is a whole number, 490 is divisible by 245.
Problem 2
Check the divisibility rule of 245 for 1225.
Yes, 1225 is divisible by 245.
Explanation
To check if 1225 is divisible by 245:
1) Divide 1225 by 245.
2) Calculation: 1225 ÷ 245 = 5.
3) Since the result is a whole number, 1225 is divisible by 245.
Problem 3
Is 735 divisible by 245?
No, 735 is not divisible by 245.
Explanation
To verify divisibility of 735 by 245:
1) Divide 735 by 245.
2) Calculation: 735 ÷ 245 = 3 with a remainder.
3) Since there is a remainder, 735 is not divisible by 245.
Problem 4
Can 2450 be divisible by 245?
Yes, 2450 is divisible by 245.
Explanation
To check if 2450 is divisible by 245:
1) Divide 2450 by 245.
2) Calculation: 2450 ÷ 245 = 10.
3) Since the result is a whole number, 2450 is divisible by 245.
Problem 5
Is 1960 divisible by 245?
Yes, 1960 is divisible by 245.
Explanation
To determine if 1960 is divisible by 245:
1) Divide 1960 by 245.
2) Calculation: 1960 ÷ 245 = 8.
3) As the result is a whole number, 1960 is divisible by 245.
FAQs on Divisibility Rule of 245
1.What is the divisibility rule for 245?
2.How many numbers are there between 1 and 1000 that are divisible by 245?
3.Is 490 divisible by 245?
4.What if I get 0 after subtraction in the divisibility test for 49?
5.Does the divisibility rule of 245 apply to all integers?
6.How can children in Oman use numbers in everyday life to understand Divisibility Rule of 245?
7.What are some fun ways kids in Oman can practice Divisibility Rule of 245 with numbers?
8.What role do numbers and Divisibility Rule of 245 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Divisibility Rule of 245 skills?
Important Glossaries for Divisibility Rule of 245
- Divisibility rule: A set of guidelines to determine if a number is divisible by another number without performing division.
- Multiples: Results obtained by multiplying a number by an integer. For example, multiples of 245 are 245, 490, 735, etc.
- Factors: Numbers you multiply together to get another number. For 245, the factors are 5, 7, and 49.
- Subtraction: The process of finding the difference between two numbers.
- Integer: Whole numbers, including positive, negative numbers, and zero.
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About BrightChamps in Oman
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.
