134 LearnersLast updated on May 30th, 2025
Factors of 1604
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 1604, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1604?
The numbers that divide 1604 evenly are known as factors of 1604.
A factor of 1604 is a number that divides the number without a remainder.
The factors of 1604 are 1, 2, 4, 401, 802, and 1604.
Negative factors of 1604: -1, -2, -4, -401, -802, and -1604.
Prime factors of 1604: 2 and 401.
Prime factorization of 1604: 22 × 401.
The sum of factors of 1604: 1 + 2 + 4 + 401 + 802 + 1604 = 2814
How to Find Factors of 1604?
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 1604. Identifying the numbers which are multiplied to get the number 1604 is the multiplication method.
Step 1: Multiply 1604 by 1, 1604 × 1 = 1604.
Step 2: Check for other numbers that give 1604 after multiplying
2 × 802 = 1604
4 × 401 = 1604
Therefore, the positive factor pairs of 1604 are: (1, 1604), (2, 802), (4, 401).
All these factor pairs result in 1604. 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 1604 by 1, 1604 ÷ 1 = 1604.
Step 2: Continue dividing 1604 by the numbers until the remainder becomes 0.
1604 ÷ 1 = 1604
1604 ÷ 2 = 802
1604 ÷ 4 = 401
Therefore, the factors of 1604 are: 1, 2, 4, 401, 802, 1604.
Prime Factors and Prime Factorization
The factors can be found by dividing it by 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 1604 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
1604 ÷ 2 = 802
802 ÷ 2 = 401
401 is a prime number.
The prime factors of 1604 are 2 and 401.
The prime factorization of 1604 is: 22 × 401.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, 1604 is divided by 2 to get 802.
Step 2: Now divide 802 by 2 to get 401. 401 is a prime number that cannot be divided anymore.
So, the prime factorization of 1604 is: 22 × 401.
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 1604: (1, 1604), (2, 802), (4, 401).
Negative factor pairs of 1604: (-1, -1604), (-2, -802), (-4, -401).
Common Mistakes and How to Avoid Them in Factors of 1604
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 1604, 1 and 1604 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 1604 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor because 1604/1.5 = 1069.333, and it 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 1604 are prime numbers.
For example, 2 and 401 are the prime factors of 1604, but it has other factors like 4.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1604 as 22× 401 and missing all the key factors.
Factors of 1604 Examples
Problem 1
There are 4 teams and 1604 players. How will they arrange them equally?
They will get 401 players each.
Explanation
To arrange the players equally, we need to divide the total players by the number of teams.
1604/4 = 401
Problem 2
A rectangular garden has a length of 2 meters and a total area of 1604 square meters. Find the width.
802 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1604 = 2 × width
To find the value of width, we need to shift 2 to the left side.
1604/2 = width
Width = 802.
Problem 3
There are 8 sections and 1604 books. How many books will be in each section?
Each section will have 200.5 books.
Explanation
To find the books in each section, divide the total books by the sections.
1604/8 = 200.5
(Note: This is a hypothetical situation for illustrative purposes as books can't be divided into halves practically.)
Problem 4
In a class, there are 1604 students, and 2 groups. How many students are there in each group?
There are 802 students in each group.
Explanation
Dividing the students with the total groups will give the number of students in each group.
1604/2 = 802
Problem 5
1604 apples need to be packed in 4 crates. How many apples will go in each crate?
Each crate will have 401 apples.
Explanation
Divide the total apples by the number of crates.
1604/4 = 401
FAQs on Factors of 1604
1.What are the factors of 1604?
2.Mention the prime factors of 1604.
3.Is 1604 a multiple of 4?
4.Mention the factor pairs of 1604?
5.What is the square of 1604?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 1604?
7.What are some fun ways kids in Indonesia can practice Factors of 1604 with numbers?
8.What role do numbers and Factors of 1604 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 1604 skills?
Important Glossaries for Factors of 1604
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1604 are 1, 2, 4, 401, 802, and 1604.
- Prime factors: The factors which are prime numbers. For example, 2 and 401 are prime factors of 1604.
- 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 1604 are (1, 1604), (2, 802), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1604 is 22 × 401.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, finding (4, 401) for 1604.
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About BrightChamps in Indonesia
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.
