100 LearnersLast updated on May 26th, 2025
Factors of 3240
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 3240, how they are used in real life, and tips to learn them quickly.
What are the Factors of 3240?
The numbers that divide 3240 evenly are known as factors of 3240.
A factor of 3240 is a number that divides the number without remainder.
The factors of 3240 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 270, 324, 405, 540, 648, 810, 1080, 1620, and 3240.
Negative factors of 3240: -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -18, -20, -24, -27, -30, -36, -40, -45, -54, -60, -72, -81, -90, -108, -120, -135, -162, -180, -216, -270, -324, -405, -540, -648, -810, -1080, -1620, and -3240.
Prime factors of 3240: 2, 3, and 5.
Prime factorization of 3240: 23 × 34 × 5.
The sum of factors of 3240: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 27 + 30 + 36 + 40 + 45 + 54 + 60 + 72 + 81 + 90 + 108 + 120 + 135 + 162 + 180 + 216 + 270 + 324 + 405 + 540 + 648 + 810 + 1080 + 1620 + 3240 = 10080
How to Find Factors of 3240?
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 3240. Identifying the numbers which are multiplied to get the number 3240 is the multiplication method.
Step 1: Multiply 3240 by 1, 3240 × 1 = 3240.
Step 2: Check for other numbers that give 3240 after multiplying
2 × 1620 = 3240
3 × 1080 = 3240
4 × 810 = 3240
5 × 648 = 3240
6 × 540 = 3240
8 × 405 = 3240
9 × 360 = 3240
10 × 324 = 3240
12 × 270 = 3240
15 × 216 = 3240
18 × 180 = 3240
20 × 162 = 3240
24 × 135 = 3240
27 × 120 = 3240
30 × 108 = 3240
36 × 90 = 3240
40 × 81 = 3240
45 × 72 = 3240
54 × 60 = 3240
Therefore, the positive factor pairs of 3240 are: (1, 3240), (2, 1620), (3, 1080), (4, 810), (5, 648), (6, 540), (8, 405), (9, 360), (10, 324), (12, 270), (15, 216), (18, 180), (20, 162), (24, 135), (27, 120), (30, 108), (36, 90), (40, 81), (45, 72), and (54, 60). 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 the simple division method -
Step 1: Divide 3240 by 1, 3240 ÷ 1 = 3240.
Step 2: Continue dividing 3240 by the numbers until the remainder becomes 0.
3240 ÷ 1 = 3240
3240 ÷ 2 = 1620
3240 ÷ 3 = 1080
3240 ÷ 4 = 810
3240 ÷ 5 = 648
3240 ÷ 6 = 540
3240 ÷ 8 = 405
3240 ÷ 9 = 360
3240 ÷ 10 = 324
3240 ÷ 12 = 270
3240 ÷ 15 = 216
3240 ÷ 18 = 180
3240 ÷ 20 = 162
3240 ÷ 24 = 135
3240 ÷ 27 = 120
3240 ÷ 30 = 108
3240 ÷ 36 = 90
3240 ÷ 40 = 81
3240 ÷ 45 = 72
3240 ÷ 54 = 60
Therefore, the factors of 3240 are: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 270, 324, 405, 540, 648, 810, 1080, 1620, and 3240.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 3240 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
3240 ÷ 2 = 1620
1620 ÷ 2 = 810
810 ÷ 2 = 405
405 ÷ 3 = 135
135 ÷ 3 = 45
45 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
The prime factors of 3240 are 2, 3, and 5.
The prime factorization of 3240 is: 23 × 34 × 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, 3240 is divided by 2 to get 1620.
Step 2: Now divide 1620 by 2 to get 810.
Step 3: Then divide 810 by 2 to get 405.
Step 4: Divide 405 by 3 to get 135.
Step 5: Divide 135 by 3 to get 45.
Step 6: Divide 45 by 3 to get 15.
Step 7: Divide 15 by 3 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 3240 is: 23 × 34 × 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 3240: (1, 3240), (2, 1620), (3, 1080), (4, 810), (5, 648), (6, 540), (8, 405), (9, 360), (10, 324), (12, 270), (15, 216), (18, 180), (20, 162), (24, 135), (27, 120), (30, 108), (36, 90), (40, 81), (45, 72), and (54, 60).
Negative factor pairs of 3240: (-1, -3240), (-2, -1620), (-3, -1080), (-4, -810), (-5, -648), (-6, -540), (-8, -405), (-9, -360), (-10, -324), (-12, -270), (-15, -216), (-18, -180), (-20, -162), (-24, -135), (-27, -120), (-30, -108), (-36, -90), (-40, -81), (-45, -72), and (-54, -60).
Common Mistakes and How to Avoid Them in Factors of 3240
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 3240, 1 and 3240 are also factors.
Factors of 3240 Examples
Problem 1
There are 18 friends and 3240 candies. How will they divide it equally?
They will get 180 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
3240/18 = 180
Problem 2
A field is rectangular, the length of the field is 108 meters and the total area is 3240 square meters. Find the width.
30 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
3240 = 108 × width
To find the value of width, we need to shift 108 to the left side.
3240/108 = width
Width = 30.
Problem 3
There are 45 bags and 3240 marbles. How many marbles will be in each bag?
Each bag will have 72 marbles.
Explanation
To find the marbles in each bag, divide the total marbles by the bags.
3240/45 = 72
Problem 4
In a class, there are 3240 students, and 90 groups. How many students are there in each group?
There are 36 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
3240/90 = 36
Problem 5
3240 books need to be arranged in 135 shelves. How many books will go on each shelf?
Each of the shelves has 24 books.
Explanation
Divide total books by shelves.
3240/135 = 24
FAQs on Factors of 3240
1.What are the factors of 3240?
2.Mention the prime factors of 3240.
3.Is 3240 a multiple of 9?
4.Mention the factor pairs of 3240.
5.What is the cube of 3240?
6.How can children in Philippines use numbers in everyday life to understand Factors of 3240?
7.What are some fun ways kids in Philippines can practice Factors of 3240 with numbers?
8.What role do numbers and Factors of 3240 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of 3240 skills?
Important Glossaries for Factor of 3240
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 3240 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 270, 324, 405, 540, 648, 810, 1080, 1620, and 3240.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 3240.
- 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 3240 are (1, 3240), (2, 1620), etc.
- Prime factorization: Expressing a number as a product of its prime factors. For example, the prime factorization of 3240 is 23 × 34 × 5.
- Multiples: Numbers that can be divided by another number without leaving a remainder. For example, 3240 is a multiple of 9.
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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.
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