122 LearnersLast updated on May 26th, 2025
Factors of 1904
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.
What are the Factors of 1904?
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
How to Find Factors of 1904?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 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.
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 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.
Prime Factors and Prime Factorization
The factors can be found by dividing it 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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1904
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 1904, 1 and 1904 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1904 include -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes incorrectly consider a fraction as a factor. Only whole numbers can be factors.
For example, thinking 1.5 is a factor, because 1904/1.5 = 1269.33, which 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 1904 are prime numbers. For example, 2 and 59 are the prime factors of 1904, but it has other factors like 4, 8.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing incorrect factors.
For example, not breaking 1904 as 24 × 59 and missing key factors.
Factors of 1904 Examples
Problem 1
There are 32 apples and 1904 seeds. How will they distribute the seeds equally?
They will get 59 seeds each.
Explanation
To divide the seeds equally, we need to divide the total seeds by the number of apples.
1904/32 = 59
Problem 2
A rectangular garden has a length of 16 meters and a total area of 1904 square meters. Find the width.
119 meters.
Explanation
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.
Problem 3
There are 8 boxes and 1904 marbles. How many marbles will be in each box?
Each box will have 238 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the number of boxes.
1904/8 = 238
Problem 4
In a class, there are 119 students and 16 teams. How many students are in each team?
There are 7 students in each team.
Explanation
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.
Problem 5
1904 paintings need to be arranged in 16 galleries. How many paintings will go in each gallery?
Each gallery has 119 paintings.
Explanation
Divide total paintings by the number of galleries.
1904/16 = 119
FAQs on Factors of 1904
1.What are the factors of 1904?
2.Mention the prime factors of 1904.
3.Is 1904 a multiple of 8?
4.Mention the factor pairs of 1904?
5.What is the square of 1904?
6.How can children in Singapore use numbers in everyday life to understand Factors of 1904?
7.What are some fun ways kids in Singapore can practice Factors of 1904 with numbers?
8.What role do numbers and Factors of 1904 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 1904 skills?
Important Glossaries for Factor of 1904
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1904 are 1, 2, 4, 8, 16, 32, 59, 118, 236, 472, 952, and 1904.
- Prime factors: The factors which are prime numbers. For example, 2 and 59 are prime factors of 1904.
- 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 1904 are (1, 1904), (2, 952), etc.
- Prime factorization: The expression of a number as the product of prime factors. For 1904, it is 24 × 59.
- Negative factors: Factors that are negative numbers. For example, for 1904, the negative factors are -1, -2, -4, etc.
Explore More numbers
About BrightChamps in Singapore
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.
