Last updated on May 26th, 2025
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.
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
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 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.
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.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
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.
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).
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 18 teams and 1884 points. How will they divide the points equally?
They will get 104 points each.
To divide the points equally, we need to divide the total points by the number of teams.
1884/18 = 104
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.
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.
There are 27 crates and 1884 apples. How many apples will be in each crate?
Each crate will have 69 apples.
To find the apples in each crate, divide the total apples by the crates.
1884/27 = 69
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.
Dividing the books by the total shelves, we will get the number of books on each shelf.
1884/36 = 52
1884 bricks need to be arranged in 12 rows. How many bricks will go in each row?
Each of the rows has 157 bricks.
Divide total bricks by rows.
1884/12 = 157
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.