116 LearnersLast updated on May 26th, 2025
Factors of 1884
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 1884, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1884?
The numbers that divide 1884 evenly are known as factors of 1884.
A factor of 1884 is a number that divides the number without remainder.
The factors of 1884 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 141, 188, 282, 423, 564, 847, 1694, and 1884.
Negative factors of 1884: -1, -2, -3, -4, -6, -9, -12, -18, -27, -36, -47, -54, -94, -141, -188, -282, -423, -564, -847, -1694, and -1884.
Prime factors of 1884: 2, 3, and 47.
Prime factorization of 1884: 2² × 3² × 47.
The sum of factors of 1884: 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 27 + 36 + 47 + 54 + 94 + 141 + 188 + 282 + 423 + 564 + 847 + 1694 + 1884 = 6348
How to Find Factors of 1884?
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 1884. Identifying the numbers which are multiplied to get the number 1884 is the multiplication method.
Step 1: Multiply 1884 by 1, 1884 × 1 = 1884.
Step 2: Check for other numbers that give 1884 after multiplying
2 × 942 = 1884
3 × 628 = 1884
4 × 471 = 1884
6 × 314 = 1884
9 × 209 = 1884
12 × 157 = 1884
18 × 104 = 1884
27 × 69 = 1884
36 × 52 = 1884
Therefore, the positive factor pairs of 1884 are: (1, 1884), (2, 942), (3, 628), (4, 471), (6, 314), (9, 209), (12, 157), (18, 104), (27, 69), (36, 52). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers by 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 1884 by 1, 1884 ÷ 1 = 1884.
Step 2: Continue dividing 1884 by the numbers until the remainder becomes 0.
1884 ÷ 1 = 1884
1884 ÷ 2 = 942
1884 ÷ 3 = 628
1884 ÷ 4 = 471
1884 ÷ 6 = 314
1884 ÷ 9 = 209
1884 ÷ 12 = 157
1884 ÷ 18 = 104
1884 ÷ 27 = 69
1884 ÷ 36 = 52
Therefore, the factors of 1884 are: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 141, 188, 282, 423, 564, 847, 1694, 1884.
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 1884 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1884 ÷ 2 = 942
942 ÷ 2 = 471
471 ÷ 3 = 157
157 ÷ 47 = 1
The prime factors of 1884 are 2, 3, and 47.
The prime factorization of 1884 is: 2² × 3¹ × 47¹.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1884 is divided by 2 to get 942.
Step 2: Now divide 942 by 2 to get 471.
Step 3: Then divide 471 by 3 to get 157.
Step 4: Divide 157 by 47 to get 1. Here, 157 and 47 are the smallest prime numbers, which cannot be divided anymore. So, the prime factorization of 1884 is: 2² × 3¹ × 47¹.
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 1884: (1, 1884), (2, 942), (3, 628), (4, 471), (6, 314), (9, 209), (12, 157), (18, 104), (27, 69), (36, 52).
Negative factor pairs of 1884: (-1, -1884), (-2, -942), (-3, -628), (-4, -471), (-6, -314), (-9, -209), (-12, -157), (-18, -104), (-27, -69), (-36, -52).
Common Mistakes and How to Avoid Them in Factors of 1884
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 1884, 1 and 1884 are also factors.
Mistake 2
Missing Negative Factors
We have often used only to mention positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1884 consist of -1, -2, -3, etc.
Mistake 3
Including Fractions
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 1884/1.5 ≈ 1256, 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 1884 are prime numbers. For example, 2, 3, and 47 are the prime factors of 1884, but it has other factors like 4, 6, 9, etc.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 1884 as 2² × 3¹ × 47¹ and missing all the key factors.
Factors of 1884 Examples
Problem 1
There are 18 teams and 1884 points. How will they divide the points equally?
They will get 104 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1884/18 = 104
Problem 2
A garden is rectangular, the length of the garden is 36 meters and the total area is 1884 square meters. Find the width?
52 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
1884 = 36 × width
To find the value of width, we need to shift 36 to the left side.
1884/36 = width
Width = 52.
Problem 3
There are 27 crates and 1884 apples. How many apples will be in each crate?
Each crate will have 69 apples.
Explanation
To find the apples in each crate, divide the total apples by the crates.
1884/27 = 69
Problem 4
In a library, there are 1884 books, and 36 shelves. How many books are there on each shelf?
There are 52 books on each shelf.
Explanation
Dividing the books by the total shelves, we will get the number of books on each shelf.
1884/36 = 52
Problem 5
1884 bricks need to be arranged in 12 rows. How many bricks will go in each row?
Each of the rows has 157 bricks.
Explanation
Divide total bricks by rows.
1884/12 = 157
FAQs on Factors of 1884
1.What are the factors of 1884?
2.Mention the prime factors of 1884.
3.Is 1884 a multiple of 6?
4.Mention the factor pairs of 1884?
5.What is the square of 1884?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 1884?
7.What are some fun ways kids in Indonesia can practice Factors of 1884 with numbers?
8.What role do numbers and Factors of 1884 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 1884 skills?
Important Glossaries for Factors of 1884
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1884 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 47, 54, 94, 141, 188, 282, 423, 564, 847, 1694, and 1884.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 47 are prime factors of 1884.
- 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 1884 are (1, 1884), (2, 942), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1884 is 2² × 3¹ × 47¹.
- Division method: A method used to find factors by dividing the number by integers until the remainder is zero. For example, using 1884 ÷ 2 = 942 to find 2 as a factor.
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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.
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