100 LearnersLast updated on May 26th, 2025
Factors of 1518
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 1518, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1518?
The numbers that divide 1518 evenly are known as factors of 1518.
A factor of 1518 is a number that divides the number without remainder.
The factors of 1518 are 1, 2, 3, 6, 11, 23, 33, 46, 69, 138, 253, 506, 759, and 1518.
Negative factors of 1518: -1, -2, -3, -6, -11, -23, -33, -46, -69, -138, -253, -506, -759, and -1518.
Prime factors of 1518: 2, 3, 11, and 23.
Prime factorization of 1518: 2 × 3 × 11 × 23.
The sum of factors of 1518: 1 + 2 + 3 + 6 + 11 + 23 + 33 + 46 + 69 + 138 + 253 + 506 + 759 + 1518 = 3368
How to Find Factors of 1518?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1518. Identifying the numbers which are multiplied to get the number 1518 is the multiplication method.
Step 1: Multiply 1518 by 1, 1518 × 1 = 1518.
Step 2: Check for other numbers that give 1518 after multiplying
2 × 759 = 1518
3 × 506 = 1518
6 × 253 = 1518
11 × 138 = 1518
23 × 66 = 1518
33 × 46 = 1518
Therefore, the positive factor pairs of 1518 are: (1, 1518), (2, 759), (3, 506), (6, 253), (11, 138), (23, 66), and (33, 46).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1518 by 1, 1518 ÷ 1 = 1518.
Step 2: Continue dividing 1518 by the numbers until the remainder becomes 0.
1518 ÷ 1 = 1518
1518 ÷ 2 = 759
1518 ÷ 3 = 506
1518 ÷ 6 = 253
1518 ÷ 11 = 138
1518 ÷ 23 = 66
1518 ÷ 33 = 46
Therefore, the factors of 1518 are: 1, 2, 3, 6, 11, 23, 33, 46, 69, 138, 253, 506, 759, and 1518.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 1518 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1518 ÷ 2 = 759
759 ÷ 3 = 253
253 ÷ 11 = 23
23 ÷ 23 = 1
The prime factors of 1518 are 2, 3, 11, and 23.
The prime factorization of 1518 is: 2 × 3 × 11 × 23.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1518 is divided by 2 to get 759.
Step 2: Now divide 759 by 3 to get 253.
Step 3: Then divide 253 by 11 to get 23.
Step 4: Here, 23 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1518 is: 2 × 3 × 11 × 23. Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs. Positive factor pairs of 1518: (1, 1518), (2, 759), (3, 506), (6, 253), (11, 138), (23, 66), and (33, 46). Negative factor pairs of 1518: (-1, -1518), (-2, -759), (-3, -506), (-6, -253), (-11, -138), (-23, -66), and (-33, -46).
Common Mistakes and How to Avoid Them in Factors of 1518
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1518, 1 and 1518 is also a factor.
Factors of 1518 Examples
Problem 1
A garden has 1518 flowers and 6 rows. How many flowers will be in each row?
There will be 253 flowers in each row.
Explanation
To divide the flowers equally, we need to divide the total flowers by the number of rows.
1518/6 = 253
Problem 2
A field is rectangular, the width of the field is 11 meters and the total area is 1518 square meters. Find the length?
138 meters.
Explanation
To find the length of the field, we use the formula, Area = length × width
1518 = length × 11
To find the value of length, we need to divide 1518 by 11.
1518/11 = length
Length = 138.
Problem 3
There are 759 apples to be packed into 23 boxes. How many apples will be in each box?
Each box will have 33 apples.
Explanation
To find the apples in each box, divide the total apples by the number of boxes.
759/23 = 33
Problem 4
In a competition, there are 1518 participants, divided into 46 teams. How many participants are there in each team?
There are 33 participants in each team.
Explanation
Dividing the participants by the total teams, we will get the number of participants in each team.
1518/46 = 33
Problem 5
1518 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 506 books.
Explanation
Divide total books by shelves.
1518/3 = 506
FAQs on Factors of 1518
1.What are the factors of 1518?
2.Mention the prime factors of 1518.
3.Is 1518 a multiple of 11?
4.Mention the factor pairs of 1518?
5.What is the square of 1518?
Important Glossaries for Factor of 1518
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1518 are 1, 2, 3, 6, 11, 23, 33, 46, 69, 138, 253, 506, 759, and 1518.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 11, and 23 are prime factors of 1518.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 1518 are (1, 1518), (2, 759), etc.
- Prime Factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1518 is 2 × 3 × 11 × 23.
- Negative factors: Factors that are negative counterparts of positive factors. For example, -1, -2, -3, etc., are negative factors of 1518.
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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.
