100 LearnersLast updated on May 26th, 2025
Factors of 604
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 604, how they are used in real life, and tips to learn them quickly.
What are the Factors of 604?
The numbers that divide 604 evenly are known as factors of 604.
A factor of 604 is a number that divides the number without remainder.
The factors of 604 are 1, 2, 4, 151, 302, and 604.
Negative factors of 604: -1, -2, -4, -151, -302, and -604
Prime factors of 604: 2 and 151.
Prime factorization of 604: 22 × 151.
The sum of factors of 604: 1 + 2 + 4 + 151 + 302 + 604 = 1064
How to Find Factors of 604?
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 604. Identifying the numbers which are multiplied to get the number 604 is the multiplication method.
Step 1: Multiply 604 by 1, 604 × 1 = 604.
Step 2: Check for other numbers that give 604 after multiplying
2 × 302 = 604
4 × 151 = 604
Therefore, the positive factor pairs of 604 are: (1, 604), (2, 302), (4, 151). All these factor pairs result in 604. 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 in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 604 by 1, 604 ÷ 1 = 604.
Step 2: Continue dividing 604 by the numbers until the remainder becomes 0.
604 ÷ 1 = 604
604 ÷ 2 = 302
604 ÷ 4 = 151
Therefore, the factors of 604 are: 1, 2, 4, 151, 302, 604.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 604 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
604 ÷ 2 = 302
302 ÷ 2 = 151
151 ÷ 151 = 1
The prime factors of 604 are 2 and 151.
The prime factorization of 604 is: 2^2 × 151.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 604 is divided by 2 to get 302.
Step 2: Now divide 302 by 2 to get 151.
Here, 151 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 604 is: 22 × 151.
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 604: (1, 604), (2, 302), and (4, 151).
Negative factor pairs of 604: (-1, -604), (-2, -302), and (-4, -151).
Common Mistakes and How to Avoid Them in Factors of 604
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and 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 604, 1 and 604 are also factors.
Factors of 604 Examples
Problem 1
There are 4 teams and 604 participants. How will they divide the participants equally?
They will get 151 participants each.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
604/4 = 151
Problem 2
A garden is rectangular, the length of the garden is 151 meters and the total area is 604 square meters. Find the width?
4 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
604 = 151 × width
To find the value of width, we need to shift 151 to the left side.
604/151 = width
Width = 4.
Problem 3
There are 2 trucks and 604 boxes. How many boxes will be in each truck?
Each truck will have 302 boxes.
Explanation
To find the boxes in each truck, divide the total boxes by the trucks.
604/2 = 302
Problem 4
At a conference, there are 302 attendees and 2 sessions. How many attendees are there in each session?
There are 151 attendees in each session.
Explanation
Dividing the attendees by the total sessions, we will get the number of attendees in each session.
302/2 = 151
Problem 5
604 books need to be arranged in 4 shelves. How many books will go on each shelf?
Each of the shelves has 151 books.
Explanation
Divide the total books by shelves.
604/4 = 151
FAQs on Factors of 604
1.What are the factors of 604?
2.Mention the prime factors of 604.
3.Is 604 a multiple of 4?
4.Mention the factor pairs of 604?
5.What is the square of 604?
Important Glossaries for Factors of 604
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 604 are 1, 2, 4, 151, 302, and 604.
- Prime factors: The factors which are prime numbers. For example, 2 and 151 are prime factors of 604.
- 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 604 are (1, 604), (2, 302), etc.
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 604 is 2^2 × 151.
- Multiplication method: A method to find factors by identifying number pairs that multiply to the original number. For example, using the multiplication method to find factors of 604.
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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.
