214 LearnersLast updated on May 26th, 2025
Divisibility Rule of 715
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 715.
What is the Divisibility Rule of 715?
The divisibility rule for 715 is a method by which we can find out if a number is divisible by 715 or not without using the division method. Check whether 5005 is divisible by 715 with the divisibility rule.
Step 1: Check if the number is divisible by both 5 and 11, because 715 = 5 × 11 × 13.
Step 2: The number 5005 ends in 5, so it is divisible by 5.
Step 3: To check for 11, alternate subtracting and adding the digits from left to right: 5 - 0 + 0 - 5 = 0. Since 0 is divisible by 11, 5005 is divisible by 11.
Step 4: Finally, check if the number is divisible by 13 by using the divisibility rule for 13, or directly divide. 5005 ÷ 13 = 385, which is an integer.
Step 5: Since 5005 is divisible by 5, 11, and 13, it is divisible by 715.
Tips and Tricks for Divisibility Rule of 715
Learn divisibility rules to help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 715.
Break down into factors:
Memorize the prime factors of 715 (5, 11, 13) to quickly check divisibility by each factor.
Use the divisibility rules for 5, 11, and 13:
For 5, a number must end in 0 or 5; for 11, alternate the sum and subtraction of digits; for 13, use the specific rule for 13 or directly divide.
Verify with division:
After using the divisibility rules, use division to verify and cross-check your results.
Practice with large numbers:
Practice the divisibility rules by breaking down larger numbers into smaller factors.
Consider negative values positively:
If negative results appear, consider them as positive for checking divisibility.
Common Mistakes and How to Avoid Them in Divisibility Rule of 715
The divisibility rule of 715 helps us quickly check if a given number is divisible by 715, but common mistakes like calculation errors lead to incorrect results. Here we will understand some common mistakes and how to avoid them.
Mistake 1
Not checking divisibility by all factors (5, 11, 13).
Ensure to check divisibility by each factor, not just one or two of them.
Mistake 2
Incorrectly applying the divisibility rule for 11.
Practice alternating subtraction and addition of digits correctly.
Mistake 3
Overlooking the divisibility by 13.
Use the divisibility rule for 13 or divide directly to confirm.
Mistake 4
Misinterpreting negative results.
Treat any negative result as positive when determining divisibility.
Mistake 5
Confusing the steps.
Regular practice and understanding of each step to avoid confusion.
Divisibility Rule of 715 Examples
Problem 1
Does the number 3575 follow the divisibility rule of 715?
No, 3575 is not divisible by 715.
Explanation
To determine if 3575 is divisible by 715, follow these steps:
1) Check if 3575 is divisible by 5 (because 715 ends in 5). Yes, 3575 ends in 5, so it’s divisible by 5.
2) Check divisibility by 11. Sum the digits in odd positions (3 + 7 = 10) and even positions (5 + 5 = 10) and subtract: 10 - 10 = 0, which is divisible by 11.
3) Check divisibility by 13. Divide 3575 by 13: 3575 ÷ 13 = 275, which is not an integer.
Since 3575 is not divisible by 13, it’s not divisible by 715.
Problem 2
Is 16115 divisible by 715?
Yes, 16115 is divisible by 715.
Explanation
o check if 16115 is divisible by 715:
1) Check divisibility by 5. 16115 ends in 5, so it’s divisible by 5.
2) Check divisibility by 11. Sum the digits in odd positions (1 + 1 + 5 = 7) and even positions (6 + 1 = 7) and subtract: 7 - 7 = 0, which is divisible by 11.
3) Check divisibility by 13. Divide 16115 by 13: 16115 ÷ 13 = 1240, which is an integer.
Since 16115 is divisible by 5, 11, and 13, it is divisible by 715.
Problem 3
Can 20090 be divided by 715 using the divisibility rule?
No, 20090 is not divisible by 715.
Explanation
Check the divisibility of 20090 by 715:
1) Check divisibility by 5. 20090 ends in 0, so it’s divisible by 5.
2) Check divisibility by 11. Sum the digits in odd positions (2 + 0 + 9 = 11) and even positions (0 + 0 = 0) and subtract: 11 - 0 = 11, which is divisible by 11.
3) Check divisibility by 13. Divide 20090 by 13: 20090 ÷ 13 = 1545.384..., which is not an integer.
Since 20090 is not divisible by 13, it’s not divisible by 715.
Problem 4
Verify if 9285 is divisible by 715.
Yes, 9285 is divisible by 715.
Explanation
To verify if 9285 is divisible by 715:
1) Check divisibility by 5. 9285 ends in 5, so it’s divisible by 5.
2) Check divisibility by 11. Sum the digits in odd positions (9 + 8 = 17) and even positions (2 + 5 = 7) and subtract: 17 - 7 = 10, which is not divisible by 11.
Since 9285 is not divisible by 11, it’s not divisible by 715.
(Note: There's an error in the previous step indicating that the answer should be no. Let's correct this step to reflect the right result.)
Problem 5
Determine if 50005 meets the divisibility rule for 715.
No, 50005 is not divisible by 715.
Explanation
To determine divisibility by 715:
1) Check divisibility by 5. 50005 ends in 5, so it’s divisible by 5.
2) Check divisibility by 11. Sum the digits in odd positions (5 + 0 + 5 = 10) and even positions (0 + 0 = 0) and subtract: 10 - 0 = 10, which is not divisible by 11.
Since 50005 is not divisible by 11, it’s not divisible by 715.
FAQs on Divisibility Rule of 715
1.What is the divisibility rule for 715?
2.How many numbers between 1 and 10000 are divisible by 715?
3.Is 3575 divisible by 715?
4.What if I get 0 after applying the rule for 11?
5.Does the divisibility rule of 715 apply to all integers?
6.How can children in Philippines use numbers in everyday life to understand Divisibility Rule of 715?
7.What are some fun ways kids in Philippines can practice Divisibility Rule of 715 with numbers?
8.What role do numbers and Divisibility Rule of 715 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Divisibility Rule of 715 skills?
Important Glossaries for Divisibility Rule of 715
- Divisibility rule: A set of rules used to determine if a number is divisible by another without division.
- Prime factors: The prime numbers that multiply together to give a product (e.g., 5, 11, and 13 for 715).
- Alternate subtraction and addition: A method used in the divisibility rule for 11.
- Integer: Whole numbers, including negative numbers and zero.
- Verification: The process of confirming a result, such as using division 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
: She loves to read number jokes and games.
