100 LearnersLast updated on May 26th, 2025
Factors of 1404
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 1404, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1404?
The numbers that divide 1404 evenly are known as factors of 1404.
A factor of 1404 is a number that divides the number without a remainder.
The positive factors of 1404 include 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, and 1404.
Negative factors of 1404: -1, -2, -3, -4, -6, -9, -12, -13, -18, -26, -27, -36, -39, -52, -54, -78, -108, -117, -156, -234, -351, -468, -702, and -1404.
Prime factors of 1404: 2, 3, and 13.
Prime factorization of 1404: 22 × 33 × 13.
The sum of factors of 1404: 1 + 2 + 3 + 4 + 6 + 9 + 12 + 13 + 18 + 26 + 27 + 36 + 39 + 52 + 54 + 78 + 108 + 117 + 156 + 234 + 351 + 468 + 702 + 1404 = 4680
How to Find Factors of 1404?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 multiply to give 1404. Finding the numbers which are multiplied to get the number 1404 is the multiplication method.
Step 1: Multiply 1404 by 1, 1404 × 1 = 1404.
Step 2: Check for other numbers that give 1404 after multiplying
2 × 702 = 1404
3 × 468 = 1404
4 × 351 = 1404
6 × 234 = 1404
9 × 156 = 1404
12 × 117 = 1404
13 × 108 = 1404
18 × 78 = 1404
26 × 54 = 1404
27 × 52 = 1404
36 × 39 = 1404
Therefore, the positive factor pairs of 1404 are: (1, 1404), (2, 702), (3, 468), (4, 351), (6, 234), (9, 156), (12, 117), (13, 108), (18, 78), (26, 54), (27, 52), (36, 39).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with whole numbers until the remainder becomes zero and listing out the numbers which result as a whole number as factors. Factors can be calculated by following the simple division method
Step 1: Divide 1404 by 1, 1404 ÷ 1 = 1404.
Step 2: Continue dividing 1404 by the numbers until the remainder becomes 0.
1404 ÷ 1 = 1404
1404 ÷ 2 = 702
1404 ÷ 3 = 468
1404 ÷ 4 = 351
1404 ÷ 6 = 234
1404 ÷ 9 = 156
1404 ÷ 12 = 117
1404 ÷ 13 = 108
1404 ÷ 18 = 78
1404 ÷ 26 = 54
1404 ÷ 27 = 52
1404 ÷ 36 = 39
Therefore, the factors of 1404 are: 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 1404.
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 1404 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1404 ÷ 2 = 702
702 ÷ 2 = 351
351 ÷ 3 = 117
117 ÷ 3 = 39
39 ÷ 3 = 13
13 ÷ 13 = 1
The prime factors of 1404 are 2, 3, and 13.
The prime factorization of 1404 is: 22 × 33 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 1404 is divided by 2 to get 702.
Step 2: Now divide 702 by 2 to get 351.
Step 3: Then divide 351 by 3 to get 117.
Step 4: Divide 117 by 3 to get 39.
Step 5: Divide 39 by 3 to get 13. Here, 13 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1404 is: 22 × 33 × 13.
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 1404: (1, 1404), (2, 702), (3, 468), (4, 351), (6, 234), (9, 156), (12, 117), (13, 108), (18, 78), (26, 54), (27, 52), (36, 39).
Negative factor pairs of 1404: (-1, -1404), (-2, -702), (-3, -468), (-4, -351), (-6, -234), (-9, -156), (-12, -117), (-13, -108), (-18, -78), (-26, -54), (-27, -52), (-36, -39).
Common Mistakes and How to Avoid Them in Factors of 1404
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1404, 1 and 1404 are also factors.
Factors of 1404 Examples
Problem 1
There are 12 groups and 1404 candies. How will they divide it equally?
They will get 117 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of groups.
1404/12 = 117
Problem 2
A rectangular garden has a length of 26 meters and a total area of 1404 square meters. Find the width.
54 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1404 = 26 × width
To find the value of width, we need to shift 26 to the left side.
1404/26 = width
Width = 54.
Problem 3
There are 39 boxes and 1404 apples. How many apples will be in each box?
Each box will have 36 apples.
Explanation
To find the apples in each box, divide the total apples by the boxes.
1404/39 = 36
Problem 4
In a school, there are 468 students and 13 classrooms. How many students are there in each classroom?
There are 36 students in each classroom.
Explanation
Dividing the students by the total classrooms, we will get the number of students in each classroom.
468/13 = 36
Problem 5
1404 chairs need to be arranged in 78 rows. How many chairs will go in each row?
Each row will have 18 chairs.
Explanation
Divide total chairs by rows. 1404/78 = 18
FAQs on Factors of 1404
1.What are the factors of 1404?
2.Mention the prime factors of 1404.
3.Is 1404 a multiple of 6?
4.Mention the factor pairs of 1404?
5.What is the square of 1404?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1404?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1404 with numbers?
8.What role do numbers and Factors of 1404 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1404 skills?
Important Glossary for Factors of 1404
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1404 are 1, 2, 3, 4, 6, etc.'
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 13 are prime factors of 1404.
- 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 1404 are (1, 1404), (2, 702), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1404 is 22 × 33 × 13.
- Multiple: A number that can be divided by another number without a remainder. For example, 1404 is a multiple of 6.
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About BrightChamps in United Arab Emirates
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.
