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237 LearnersLast updated on December 10th, 2024
Factors of 15
Do you know what factors are? The factors are the pair of numbers that divide the given number without any remainder. Hence, we can say that the factors of 144 divide 144 without any remainder. In real life, factors are helpful in scenarios like packing boxes and arranging seats. In this article, you will learn more about the factors of 15.
What are the Factors of 15
The factors of 15 are 1, 3, 5 and 15
Negative Factors: Each positive factor will have a negative counterpart.
Negative factors: -1, -3, -5, -15
Prime Factors: These are the prime numbers, which when multiplied together give 15 as the product
Prime factor: 3, 5
Prime Factorization: Prime factorization involves breaking 15 into its prime factors and expressing them in exponential form.
It is expressed as 31 × 51
Table listing the factors of 15
How to Find the Factors of 15
It is easy to find the factors of a number. We can identify the factors of 15 with the help of the methods mentioned below.
Methods to find the factors of 15:
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
- Factor Tree
Finding Factors Using Multiplication Method
The multiplication method finds the pair of factors that give 15 as their product.
Step-by-step process
Step 1: Find the pair of numbers whose product is 15.
Step 2: The factors are those numbers, when multiplied, give 15.
Step 3: Make a list of numbers whose product will be 15.
A list of numbers whose products are 15 is given below:
1 × 15 = 15
3 × 5 = 15
Finding Factors Using Division Method
The division method finds the numbers that fully divide the given number.
Step-by-step process
Step 1: Since every number is divisible by 1, 1 will always be a factor. Example: 15÷1 = 15
Step 2: Move to the next integer. Both divisor and quotient are the factors.
Overview of Factors of 15 using the division method
Prime Factors and Prime Factorization
Prime factors of 15: 3, 5
Steps to find the prime factors of 15
Step 1: Divide 15 using the prime number 3
15÷3 = 5
Step 2: Divide 5 with the prime number 5
5÷5 = 1
Prime Factorization of 15:
Prime Factorization breaks down the prime factors of 15
Expressed as 31 × 51
Factor Tree
The prime factors gets visually represented in factor tree. It shows us how the prime factors are being split into branches.
Factor Tree for 15:
Factors of 15 can be written in both positive pairs and negative pairs. Their product will be equal to the number given.
Positive Factor Pairs: (1,15), (3,5)
Negative Factor Pairs: (-1,-15), (-3,-5)
Common Mistakes and How to Avoid Them in Factors of 15
Factors of 15Examples
Problem 1
Product of odd factors of 15
Explanation
Problem 2
Find the GCF of 15 and 45
Explanation
Problem 3
Can you find the sum of factors 3 and 5 of 15? Also, check if it is divisible by 2
Explanation
FAQs on Factors of 15
1.What are the factors of negative 15?
2.What is the factor tree of 15?
3.Is 12 a factor of 15?
4.Is 2 a factor of 15?
5.Is 15 prime or composite?
Important Glossaries for Factors of 15
- Divisor: Number that divides another number
- Prime Factor: A prime number having 1 and the number itself as factors.
- Prime Factorization: Process of breaking down the prime factors and expressing them in exponential form.
- GCF: Greatest Common Factor is the largest possible number seen in two or more numbers.
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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.
