Last updated on May 30th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 4 teams and 1604 players. How will they arrange them equally?
They will get 401 players each.
To arrange the players equally, we need to divide the total players by the number of teams.
1604/4 = 401
A rectangular garden has a length of 2 meters and a total area of 1604 square meters. Find the width.
802 meters.
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.
There are 8 sections and 1604 books. How many books will be in each section?
Each section will have 200.5 books.
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.)
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.
Dividing the students with the total groups will give the number of students in each group.
1604/2 = 802
1604 apples need to be packed in 4 crates. How many apples will go in each crate?
Each crate will have 401 apples.
Divide the total apples by the number of crates.
1604/4 = 401
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.
: She loves to read number jokes and games.