100 LearnersLast updated on May 26th, 2025
Factors of 304
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 304, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 304?
The numbers that divide 304 evenly are known as factors of 304.
A factor of 304 is a number that divides the number without remainder.
The factors of 304 are 1, 2, 4, 8, 19, 38, 76, 152, and 304.
Negative factors of 304: -1, -2, -4, -8, -19, -38, -76, -152, and -304.
Prime factors of 304: 2 and 19.
Prime factorization of 304: 2^4 × 19.
The sum of factors of 304: 1 + 2 + 4 + 8 + 19 + 38 + 76 + 152 + 304 = 604
How to Find Factors of 304?
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 304. Identifying the numbers which are multiplied to get the number 304 is the multiplication method.
Step 1: Multiply 304 by 1, 304 × 1 = 304.
Step 2: Check for other numbers that give 304 after multiplying
2 × 152 = 304
4 × 76 = 304
8 × 38 = 304
19 × 16 = 304
Therefore, the positive factor pairs of 304 are: (1, 304), (2, 152), (4, 76), (8, 38), (19, 16).
All these factor pairs result in 304.
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 304 by 1, 304 ÷ 1 = 304.
Step 2: Continue dividing 304 by the numbers until the remainder becomes 0.
304 ÷ 1 = 304
304 ÷ 2 = 152
304 ÷ 4 = 76
304 ÷ 8 = 38
304 ÷ 19 = 16
Therefore, the factors of 304 are: 1, 2, 4, 8, 19, 38, 76, 152, 304.
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 304 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
304 ÷ 2 = 152
152 ÷ 2 = 76
76 ÷ 2 = 38
38 ÷ 2 = 19
19 ÷ 19 = 1
The prime factors of 304 are 2 and 19.
The prime factorization of 304 is: 24 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 304 is divided by 2 to get 152.
Step 2: Now divide 152 by 2 to get 76.
Step 3: Then divide 76 by 2 to get 38.
Step 4: Divide 38 by 2 to get 19. Here, 19 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 304 is: 24 × 19.
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 304: (1, 304), (2, 152), (4, 76), (8, 38), and (19, 16).
Negative factor pairs of 304: (-1, -304), (-2, -152), (-4, -76), (-8, -38), and (-19, -16).
Common Mistakes and How to Avoid Them in Factors of 304
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 304, 1 and 304 are also factors.
Factors of 304 Examples
Problem 1
There are 19 friends and 304 marbles. How will they divide them equally?
They will get 16 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles with the number of friends.
304/19 = 16
Problem 2
A rectangular garden has a length of 8 meters and the total area is 304 square meters. Find the width.
38 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
304 = 8 × width
To find the value of width, we need to shift 8 to the left side.
304/8 = width
Width = 38.
Problem 3
There are 152 boxes and 304 pencils. How many pencils will be in each box?
Each box will have 2 pencils.
Explanation
To find the pencils in each box, divide the total pencils by the boxes.
304/152 = 2
Problem 4
In a team, there are 304 players, and 4 groups. How many players are there in each group?
There are 76 players in each group.
Explanation
Dividing the players with the total groups, we will get the number of players in each group.
304/4 = 76
Problem 5
304 books need to be arranged in 76 shelves. How many books will go on each shelf?
Each of the shelves has 4 books.
Explanation
Divide total books with shelves.
304/76 = 4
FAQs on Factors of 304
1.What are the factors of 304?
2.Mention the prime factors of 304.
3.Is 304 a multiple of 4?
4.Mention the factor pairs of 304?
5.What is the square of 304?
6.How can children in Canada use numbers in everyday life to understand Factors of 304?
7.What are some fun ways kids in Canada can practice Factors of 304 with numbers?
8.What role do numbers and Factors of 304 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 304 skills?
Important Glossaries for Factors of 304
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 304 are 1, 2, 4, 8, 19, 38, 76, 152, and 304.
- Prime factors: The factors which are prime numbers. For example, 2 and 19 are prime factors of 304.
- 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 304 are (1, 304), (2, 152), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 304 is 24 × 19.
- Negative factors: Factors that are negative numbers. For example, -1, -2, -4, etc., are negative factors of 304.
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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.
