Last updated on May 26th, 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 1904, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1904 evenly are known as factors of 1904.
A factor of 1904 is a number that divides the number without a remainder.
The factors of 1904 are 1, 2, 4, 8, 16, 32, 59, 118, 236, 472, 952, and 1904.
Negative factors of 1904: -1, -2, -4, -8, -16, -32, -59, -118, -236, -472, -952, and -1904.
Prime factors of 1904: 2 and 59.
Prime factorization of 1904: 2^4 × 59.
The sum of factors of 1904: 1 + 2 + 4 + 8 + 16 + 32 + 59 + 118 + 236 + 472 + 952 + 1904 = 3804
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 1904. Identifying the numbers that are multiplied to get the number 1904 is the multiplication method.
Step 1: Multiply 1904 by 1, 1904 × 1 = 1904.
Step 2: Check for other numbers that give 1904 after multiplying
2 × 952 = 1904
4 × 476 = 1904
8 × 238 = 1904
16 × 119 = 1904
32 × 59 = 1904
Therefore, the positive factor pairs of 1904 are: (1, 1904), (2, 952), (4, 476), (8, 238), (16, 119), (32, 59). 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 a simple division method
Step 1: Divide 1904 by 1, 1904 ÷ 1 = 1904.
Step 2: Continue dividing 1904 by the numbers until the remainder becomes 0.
1904 ÷ 1 = 1904
1904 ÷ 2 = 952
1904 ÷ 4 = 476
1904 ÷ 8 = 238
1904 ÷ 16 = 119
1904 ÷ 32 = 59
Therefore, the factors of 1904 are: 1, 2, 4, 8, 16, 32, 59, 118, 236, 472, 952, 1904.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1904 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1904 ÷ 2 = 952
952 ÷ 2 = 476
476 ÷ 2 = 238
238 ÷ 2 = 119
119 ÷ 59 = 2
59 ÷ 59 = 1
The prime factors of 1904 are 2 and 59.
The prime factorization of 1904 is: 2^4 × 59.
The factor tree is a graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1904 is divided by 2 to get 952.
Step 2: Now divide 952 by 2 to get 476.
Step 3: Then divide 476 by 2 to get 238.
Step 4: Divide 238 by 2 to get 119. Here, 59 is a prime number and the smallest prime factor that cannot be divided further. So, the prime factorization of 1904 is: 2^4 × 59.
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 1904: (1, 1904), (2, 952), (4, 476), (8, 238), (16, 119), and (32, 59).
Negative factor pairs of 1904: (-1, -1904), (-2, -952), (-4, -476), (-8, -238), (-16, -119), and (-32, -59).
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 32 apples and 1904 seeds. How will they distribute the seeds equally?
They will get 59 seeds each.
To divide the seeds equally, we need to divide the total seeds by the number of apples.
1904/32 = 59
A rectangular garden has a length of 16 meters and a total area of 1904 square meters. Find the width.
119 meters.
To find the width of the garden, we use the formula, Area = length × width 1904 = 16 × width
To find the value of width, we need to shift 16 to the left side.
1904/16 = width
Width = 119.
There are 8 boxes and 1904 marbles. How many marbles will be in each box?
Each box will have 238 marbles.
To find the marbles in each box, divide the total marbles by the number of boxes.
1904/8 = 238
In a class, there are 119 students and 16 teams. How many students are in each team?
There are 7 students in each team.
Dividing the students by the total teams, we will get the number of students in each team.
119/16 = 7.4375
Note: Since students cannot be divided into fractions, the context might require different handling.
1904 paintings need to be arranged in 16 galleries. How many paintings will go in each gallery?
Each gallery has 119 paintings.
Divide total paintings by the number of galleries.
1904/16 = 119
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.