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 1896, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1896 evenly are known as factors of 1896.
A factor of 1896 is a number that divides the number without remainder.
The factors of 1896 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 27, 32, 48, 54, 64, 96, 108, 162, 216, 324, 432, 648, 864, 1896.
Negative factors of 1896: -1, -2, -3, -4, -6, -8, -12, -16, -24, -27, -32, -48, -54, -64, -96, -108, -162, -216, -324, -432, -648, -864, -1896.
Prime factors of 1896: 2 and 3.
Prime factorization of 1896: 24 × 33 × 11.
The sum of factors of 1896: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 27 + 32 + 48 + 54 + 64 + 96 + 108 + 162 + 216 + 324 + 432 + 648 + 864 + 1896 = 6552
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 1896. Identifying the numbers which are multiplied to get the number 1896 is the multiplication method.
Step 1: Multiply 1896 by 1, 1896 × 1 = 1896.
Step 2: Check for other numbers that give 1896 after multiplying
2 × 948 = 1896
3 × 632 = 1896
4 × 474 = 1896
6 × 316 = 1896
8 × 237 = 1896
Therefore, the positive factor pairs of 1896 are: (1, 1896), (2, 948), (3, 632), (4, 474), (6, 316), (8, 237), and so on. 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 1896 by 1, 1896 ÷ 1 = 1896.
Step 2: Continue dividing 1896 by the numbers until the remainder becomes 0.
1896 ÷ 1 = 1896
1896 ÷ 2 = 948
1896 ÷ 3 = 632
1896 ÷ 4 = 474
1896 ÷ 6 = 316
1896 ÷ 8 = 237
Therefore, the factors of 1896 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 27, 32, 48, 54, 64, 96, 108, 162, 216, 324, 432, 648, 864, 1896.
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 1896 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1896 ÷ 2 = 948
948 ÷ 2 = 474
474 ÷ 2 = 237
237 ÷ 3 = 79
79 ÷ 79 = 1
The prime factors of 1896 are 2 and 3.
The prime factorization of 1896 is: 24 × 33 × 11.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1896 is divided by 2 to get 948.
Step 2: Now divide 948 by 2 to get 474.
Step 3: Then divide 474 by 2 to get 237.
Step 4: Divide 237 by 3 to get 79. Here, 79 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 1896 is: 24 × 33 × 11.
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 1896: (1, 1896), (2, 948), (3, 632), (4, 474), (6, 316), (8, 237).
Negative factor pairs of 1896: (-1, -1896), (-2, -948), (-3, -632), (-4, -474), (-6, -316), (-8, -237).
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 16 workers and 1896 bricks. How will they divide it equally?
They will get 118 bricks each.
To divide the bricks equally, we need to divide the total bricks with the number of workers.
1896/16 = 118
A garden is rectangular, the length of the garden is 24 meters and the total area is 1896 square meters. Find the width?
79 meters.
To find the width of the garden, we use the formula, Area = length × width
1896 = 24 × width
To find the value of width, we need to shift 24 to the left side.
1896/24 = width
Width = 79.
There are 54 boxes and 1896 candies. How many candies will be in each box?
Each box will have 35 candies.
To find the candies in each box, divide the total candies with the boxes.
1896/54 = 35
In a concert, there are 432 seats, and 4 sections. How many seats are there in each section?
There are 108 seats in each section.
Dividing the seats with the total sections, we will get the number of seats in each section.
432/4 = 108
1896 apples need to be packed in 48 crates. How many apples will go in each crate?
Each crate has 39 apples.
Divide total apples with crates.
1896/48 = 39
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.