Last updated on May 26th, 2025
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.
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
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:
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
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 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
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)
While learning the factors of 15, it is possible to commit mistakes. You can avoid making these mistakes by being more careful in the area mentioned below.
Product of odd factors of 15
The product is 225
The odd factors of 15 are 1, 3, 5 and 15. When these odd factors are multiplied (1×3×5×15), we get 225 as the product.
Find the GCF of 15 and 45
The GCF of 15 and 45 is 15
To find the GCF, write the factors of 15 and 45 and identify the greatest common factor.
The factors of 15 are 1, 3, 5 and 15
The factors of 45 are 1, 3, 5, 9, 15 and 45
The GCF is 15
Can you find the sum of factors 3 and 5 of 15? Also, check if it is divisible by 2
The sum of factors 3 and 5 is 8, which is divisible by 2
Adding the factors 3 and 5 gives us 8 as a sum (3+5=8). To check if it's divisible by 2, see if the remainder is zero. When 8 is divided by 2, we get zero as the remainder and the quotient is 4.
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.
: She loves to read number jokes and games.