169 LearnersLast updated on May 26th, 2025
Divisibility Rule of 635
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 635.
What is the Divisibility Rule of 635?
The divisibility rule for 635 is a method by which we can find out if a number is divisible by 635 or not without using the division method. Check whether 1270 is divisible by 635 with the divisibility rule.
Step 1: Check if the number is divisible by both 5 and 127. Since 635 is 5 × 127, we need to verify divisibility by these factors.
Step 2: For divisibility by 5, the number should end with 0 or 5. Here, 1270 ends with 0, so it is divisible by 5.
Step 3: For divisibility by 127, you may need to use the division method or calculate multiples of 127. 1270 divided by 127 equals 10, which is a whole number.
Step 4: Since 1270 is divisible by both 5 and 127, it is divisible by 635.
Tips and Tricks for Divisibility Rule of 635
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 635.
1. Know the multiples of 635:
Memorize the multiples of 635 (635, 1270, 1905, 2540…etc.) to quickly check the divisibility. If a number is a multiple of 635, then it is divisible by 635.
2. Use prime factorization:
Break down 635 into its prime factors (5 and 127) to check divisibility using smaller numbers.
3. Repeat the process for large numbers:
For large numbers, first check divisibility by 5, then check divisibility by 127 separately.
4. 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 635
The divisibility rule of 635 helps us to quickly check if the given number is divisible by 635, but common mistakes like calculation errors can lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking divisibility by both factors of 635.
Students should ensure that they check divisibility by both 5 and 127.
Divisibility Rule of 635 Examples
Problem 1
Is 1905 divisible by 635?
Yes, 1905 is divisible by 635.
Explanation
To check divisibility by 635, we use the following steps:
1) Multiply the last digit of the number by 3, 5 × 3 = 15.
2) Add the result to the remaining digits, excluding the last digit, 190 + 15 = 205.
3) Check if 205 is divisible by 5 (the sum of digits of 635), yes, 205 is divisible by 5 (205 ÷ 5 = 41).
4) Since 205 is divisible by 5, 1905 is divisible by 635.
Problem 2
Check the divisibility rule of 635 for 3175.
No, 3175 is not divisible by 635.
Explanation
For checking the divisibility rule of 635 for 3175:
1) Multiply the last digit of the number by 3, 5 × 3 = 15.
2) Add the result to the remaining digits, excluding the last digit, 317 + 15 = 332.
3) Check if 332 is divisible by 5 (the sum of digits of 635), no, 332 is not divisible by 5
.
4) Therefore, 3175 is not divisible by 635.
Problem 3
Is -6345 divisible by 635?
Yes, -6345 is divisible by 635.
Explanation
To check if -6345 is divisible by 635, first remove the negative sign and check the divisibility:
1) Multiply the last digit of the number by 3, 5 × 3 = 15.
2) Add the result to the remaining digits, excluding the last digit, 634 + 15 = 649.
3) Check if 649 is divisible by 5 (the sum of digits of 635), yes, 649 is divisible by 5 (649 ÷ 5 = 129.8).
4) Since 649 is not cleanly divisible by 5, this step shows an error in premise, meaning the initial assumption of divisibility was incorrect.
Problem 4
Can 7620 be divisible by 635 following the divisibility rule?
No, 7620 isn't divisible by 635.
Explanation
To check if 7620 is divisible by 635 using the divisibility rule:
1) Multiply the last digit of the number by 3, 0 × 3 = 0.
2) Add the result to the remaining digits, excluding the last digit, 762 + 0 = 762.
3) Check if 762 is divisible by 5 (the sum of digits of 635), no, 762 is not divisible by 5.
4) Therefore, 7620 is not divisible by 635.
Problem 5
Check the divisibility rule of 635 for 1270.
No, 1270 is not divisible by 635.
Explanation
To check the divisibility rule of 635 for 1270, follow these steps:
1) Multiply the last digit of the number by 3, 0 × 3 = 0.
2) Add the result to the remaining digits, excluding the last digit, 127 + 0 = 127.
3) Check if 127 is divisible by 5 (the sum of digits of 635), no, 127 is not divisible by 5.
4) Hence, 1270 is not divisible by 635.
FAQs on Divisibility Rule of 635
1.What is the divisibility rule for 635?
2. How many numbers between 1 and 10000 are divisible by 635?
3. Is 2540 divisible by 635?
4. What if I get a non-whole number after division?
5.Does the divisibility rule of 635 apply to all integers?
6.How can children in United Kingdom use numbers in everyday life to understand Divisibility Rule of 635?
7.What are some fun ways kids in United Kingdom can practice Divisibility Rule of 635 with numbers?
8.What role do numbers and Divisibility Rule of 635 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Divisibility Rule of 635 skills?
Important Glossaries for Divisibility Rule of 635
- Divisibility rule: A set of rules used 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 635 are 635, 1270, 1905, etc.
- Prime factors: Prime numbers that multiply together to give the original number. For 635, the prime factors are 5 and 127.
- Whole number: A non-negative integer without fractions or decimals.
- Division method: A mathematical operation where a number is divided by another to check divisibility.
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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
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