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110 LearnersLast updated on February 12th, 2025
Divisibility Rule of 15
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 15.
What is the Divisibility Rule of 15?
The divisibility rule for 15 is a method by which we can find out if a number is divisible by 15 or not without using the division method. Check whether 345 is divisible by 15 with the divisibility rule.
Step 1: Check if the number is divisible by 3. Add the digits of the number, 3+4+5=12. Since 12 is divisible by 3, the number passes this part of the test.
Step 2: Check if the number is divisible by 5. Since 345 ends in 5, it is divisible by 5.
Step 3: As the number passes both tests (divisible by both 3 and 5), 345 is divisible by 15.
Tips and Tricks for Divisibility Rule of 15
Learning the divisibility rule will help kids master division. Let’s learn a few tips and tricks for the divisibility rule of 15.
- Know the multiples of 15: Memorize the multiples of 15 (15, 30, 45, 60, 75, etc.) to quickly check the divisibility. If a number matches one of these multiples, it is divisible by 15.
- Break the rule into parts: Since 15 is the product of 3 and 5, check divisibility by both numbers separately to determine divisibility by 15.
- 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 15
Divisibility Rule of 15 Examples
Problem 1
A farmer has 360 apples and wants to pack them into boxes such that each box has an equal number of apples and there are exactly 15 boxes. Is it possible to do so?
Explanation
Problem 2
A baker is preparing 225 cupcakes and needs to package them into boxes such that each box contains 15 cupcakes. Can this be done without any cupcakes left over?
Explanation
Problem 3
A librarian has 420 books to arrange on shelves where each shelf must have exactly 15 books. Can this be arranged perfectly?
Explanation
Problem 4
An event planner has 310 chairs to arrange in rows with each row containing exactly 15 chairs. Is it possible to arrange them without any chairs left over?
Explanation
Problem 5
A school has 150 students to organize into teams where each team has exactly 15 students. Can the students be divided evenly?
Explanation
FAQs on Divisibility Rule of 15
1.What is the divisibility rule for 15?
2.How many numbers are there between 1 and 100 that are divisible by 15?
3.Is 45 divisible by 15?
4.What if a number is divisible by only one of 3 or 5?
5.Does the divisibility rule of 15 apply to all integers?
Important Glossaries for Divisibility Rule of 15
- Divisibility rule: A method used to determine whether one number is divisible by another without performing actual division.
- Multiples: Numbers obtained by multiplying a given number by an integer. For example, multiples of 15 are 15, 30, 45, 60, etc.
- Integers: Whole numbers that include positive numbers, negative numbers, and zero.
- Sum of digits: The total obtained by adding all the digits of a number together.
- Divisible: A number is divisible by another if, after division, the remainder is zero.
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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.
