100 LearnersLast updated on May 26th, 2025
Factors of 2430
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 2430, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 2430?
The numbers that divide 2430 evenly are known as factors of 2430.
A factor of 2430 is a number that divides the number without remainder.
The factors of 2430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, and 2430.
Negative factors of 2430: -1, -2, -3, -5, -6, -9, -10, -15, -18, -27, -30, -45, -54, -81, -90, -135, -162, -243, -270, -405, -486, -810, -1215, and -2430.
Prime factors of 2430: 2, 3, and 5.
Prime factorization of 2430: 2 × 3^5 × 5.
The sum of factors of 2430: 1 + 2 + 3 + 5 + 6 + 9 + 10 + 15 + 18 + 27 + 30 + 45 + 54 + 81 + 90 + 135 + 162 + 243 + 270 + 405 + 486 + 810 + 1215 + 2430 = 6552
How to Find Factors of 2430?
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 2430. Identifying the numbers which are multiplied to get the number 2430 is the multiplication method.
Step 1: Multiply 2430 by 1, 2430 × 1 = 2430.
Step 2: Check for other numbers that give 2430 after multiplying
2 × 1215 = 2430
3 × 810 = 2430
5 × 486 = 2430
6 × 405 = 2430
9 × 270 = 2430
10 × 243 = 2430
15 × 162 = 2430
18 × 135 = 2430
27 × 90 = 2430
30 × 81 = 2430
45 × 54 = 2430
Therefore, the positive factor pairs of 2430 are: (1, 2430), (2, 1215), (3, 810), (5, 486), (6, 405), (9, 270), (10, 243), (15, 162), (18, 135), (27, 90), (30, 81), and (45, 54).
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 2430 by 1, 2430 ÷ 1 = 2430.
Step 2: Continue dividing 2430 by the numbers until the remainder becomes 0.
2430 ÷ 1 = 2430
2430 ÷ 2 = 1215
2430 ÷ 3 = 810
2430 ÷ 5 = 486
2430 ÷ 6 = 405
2430 ÷ 9 = 270
2430 ÷ 10 = 243
2430 ÷ 15 = 162
2430 ÷ 18 = 135
2430 ÷ 27 = 90
2430 ÷ 30 = 81
2430 ÷ 45 = 54
Therefore, the factors of 2430 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, and 2430.
Prime Factors and Prime Factorization
The factors can be found by dividing it with 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 2430 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2430 ÷ 2 = 1215
1215 ÷ 3 = 405
405 ÷ 3 = 135
135 ÷ 3 = 45
45 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
The prime factors of 2430 are 2, 3, and 5.
The prime factorization of 2430 is: 2 × 3^5 × 5.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2430 is divided by 2 to get 1215.
Step 2: Now divide 1215 by 3 to get 405.
Step 3: Then divide 405 by 3 to get 135.
Step 4: Divide 135 by 3 to get 45.
Step 5: Divide 45 by 3 to get 15.
Step 6: Divide 15 by 3 to get 5.
Here, 5 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 2430 is: 2 × 3^5 × 5.
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 2430: (1, 2430), (2, 1215), (3, 810), (5, 486), (6, 405), (9, 270), (10, 243), (15, 162), (18, 135), (27, 90), (30, 81), and (45, 54).
Negative factor pairs of 2430: (-1, -2430), (-2, -1215), (-3, -810), (-5, -486), (-6, -405), (-9, -270), (-10, -243), (-15, -162), (-18, -135), (-27, -90), (-30, -81), and (-45, -54).
Common Mistakes and How to Avoid Them in Factors of 2430
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 2430, 1 and 2430 are also factors.
Factors of 2430 Examples
Problem 1
There are 9 teams and 2430 apples. How will they divide it equally?
They will get 270 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of teams.
2430/9 = 270
Problem 2
A rectangular garden has a length of 18 meters and a total area of 2430 square meters. Find the width?
135 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2430 = 18 × width
To find the value of width, we need to shift 18 to the left side.
2430/18 = width
Width = 135.
Problem 3
There are 27 boxes and 2430 marbles. How many marbles will be in each box?
Each box will have 90 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the number of boxes.
2430/27 = 90
Problem 4
In a lecture hall, there are 2430 chairs, and 30 rows. How many chairs are there in each row?
There are 81 chairs in each row.
Explanation
Dividing the chairs by the total rows, we will get the number of chairs in each row.
2430/30 = 81
Problem 5
2430 chocolates need to be arranged in 5 baskets. How many chocolates will go in each basket?
Each of the baskets has 486 chocolates.
Explanation
Divide total chocolates by baskets.
2430/5 = 486
FAQs on Factors of 2430
1.What are the factors of 2430?
2.Mention the prime factors of 2430.
3.Is 2430 a multiple of 9?
4.Mention the factor pairs of 2430?
5.What is the square of 2430?
6.How can children in Philippines use numbers in everyday life to understand Factors of 2430?
7.What are some fun ways kids in Philippines can practice Factors of 2430 with numbers?
8.What role do numbers and Factors of 2430 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of 2430 skills?
Important Glossaries for Factor of 2430
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, and 2430.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 2430.
- 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 2430 are (1, 2430), (2, 1215), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 2430 is 2 × 3^5 × 5.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the target number. For example, using pairs like (3, 810) to find factors of 2430.
Explore More numbers
Previous to Factors of 2430
About BrightChamps in Philippines
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.
