131 LearnersLast updated on May 28th, 2025
Factors of 1304
Factors are the numbers that divide any given number evenly without a 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 1304, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1304?
The numbers that divide 1304 evenly are known as factors of 1304.
A factor of 1304 is a number that divides the number without a remainder.
The factors of 1304 are 1, 2, 4, 8, 163, 326, 652, and 1304.
Negative factors of 1304: -1, -2, -4, -8, -163, -326, -652, and -1304.
Prime factors of 1304: 2 and 163.
Prime factorization of 1304: 23 × 163.
The sum of factors of 1304: 1 + 2 + 4 + 8 + 163 + 326 + 652 + 1304 = 2460
How to Find Factors of 1304?
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 are multiplied to give 1304. Identifying the numbers which are multiplied to get the number 1304 is the multiplication method.
Step 1: Multiply 1304 by 1, 1304 × 1 = 1304.
Step 2: Check for other numbers that give 1304 after multiplying
2 × 652 = 1304
4 × 326 = 1304
8 × 163 = 1304
Therefore, the positive factor pairs of 1304 are: (1, 1304), (2, 652), (4, 326), (8, 163).
All these factor pairs result in 1304.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 1304 by 1, 1304 ÷ 1 = 1304.
Step 2: Continue dividing 1304 by the numbers until the remainder becomes 0.
1304 ÷ 1 = 1304
1304 ÷ 2 = 652
1304 ÷ 4 = 326
1304 ÷ 8 = 163
Therefore, the factors of 1304 are: 1, 2, 4, 8, 163, 326, 652, 1304.
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 1304 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1304 ÷ 2 = 652
652 ÷ 2 = 326
326 ÷ 2 = 163
163 ÷ 163 = 1
The prime factors of 1304 are 2 and 163.
The prime factorization of 1304 is: 23 × 163.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, 1304 is divided by 2 to get 652.
Step 2: Now divide 652 by 2 to get 326.
Step 3: Then divide 326 by 2 to get 163.
Step 4: Since 163 is a prime number, it cannot be divided further. So, the prime factorization of 1304 is: 23 × 163.
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 1304: (1, 1304), (2, 652), (4, 326), (8, 163).
Negative factor pairs of 1304: (-1, -1304), (-2, -652), (-4, -326), (-8, -163).
Common Mistakes and How to Avoid Them in Factors of 1304
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 1304, 1 and 1304 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1304 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1304/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes. For example, thinking all the factors of 1304 are prime numbers.
For example, 2 and 163 are the prime factors of 1304, but it has other factors like 4, 8.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1304 as 23 × 163 and missing all the key factors.
Factors of 1304 Examples
Problem 1
There are 4 teams and 1304 points. How will they divide the points equally?
They will get 326 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams. 1304/4 = 326
Problem 2
A rectangular garden's length is 8 meters and the total area is 1304 square meters. Find the width.
163 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1304 = 8 × width
To find the value of width, we need to shift 8 to the left side.
1304/8 = width
Width = 163.
Problem 3
There are 8 bags and 1304 marbles. How many marbles will be in each bag?
Each bag will have 163 marbles.
Explanation
To find the marbles in each bag, divide the total marbles by the bags.
1304/8 = 163
Problem 4
In a class, there are 1304 students, and 163 groups. How many students are there in each group?
There are 8 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1304/163 = 8
Problem 5
1304 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 652 books.
Explanation
Divide total books by shelves.
1304/2 = 652
FAQs on Factors of 1304
1.What are the factors of 1304?
2.Mention the prime factors of 1304.
3.Is 1304 a multiple of 4?
4.Mention the factor pairs of 1304?
5.What is the square of 1304?
6.How can children in Oman use numbers in everyday life to understand Factors of 1304?
7.What are some fun ways kids in Oman can practice Factors of 1304 with numbers?
8.What role do numbers and Factors of 1304 play in helping children in Oman develop problem-solving skills?
9.How can families in Oman create number-rich environments to improve Factors of 1304 skills?
Important Glossaries for Factor of 1304
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1304 are 1, 2, 4, 8, 163, 326, 652, and 1304.
- Prime factors: The factors which are prime numbers. For example, 2 and 163 are prime factors of 1304.
- Prime factorization: The process of breaking a number down into its prime factors. For 1304, it is 23× 163.
- 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 1304 are (1, 1304), (2, 652), etc.
- Multiple: A number that can be divided by another number without a remainder. For example, 1304 is a multiple of 4.
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About BrightChamps in Oman
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.
