122 LearnersLast updated on May 26th, 2025
Factors of 1896
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.
What are the Factors of 1896?
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
How to Find Factors of 1896?
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 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.
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 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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1896
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 1896, 1 and 1896 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1896 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1896/1.5 = 1264, 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 1896 are prime numbers. For example, 2 and 3 are the prime factors of 1896, but it has other factors like 4, 6, etc.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1896 as 2^4 × 3^3 × 11 and missing all the key factors.
Factors of 1896 Examples
Problem 1
There are 16 workers and 1896 bricks. How will they divide it equally?
They will get 118 bricks each.
Explanation
To divide the bricks equally, we need to divide the total bricks with the number of workers.
1896/16 = 118
Problem 2
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.
Explanation
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.
Problem 3
There are 54 boxes and 1896 candies. How many candies will be in each box?
Each box will have 35 candies.
Explanation
To find the candies in each box, divide the total candies with the boxes.
1896/54 = 35
Problem 4
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.
Explanation
Dividing the seats with the total sections, we will get the number of seats in each section.
432/4 = 108
Problem 5
1896 apples need to be packed in 48 crates. How many apples will go in each crate?
Each crate has 39 apples.
Explanation
Divide total apples with crates.
1896/48 = 39
FAQs on Factors of 1896
1.What are the factors of 1896?
2.Mention the prime factors of 1896.
3.Is 1896 a multiple of 6?
4.Mention the factor pairs of 1896?
5.What is the square of 1896?
6.How can children in Singapore use numbers in everyday life to understand Factors of 1896?
7.What are some fun ways kids in Singapore can practice Factors of 1896 with numbers?
8.What role do numbers and Factors of 1896 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 1896 skills?
Important Glossaries for Factors of 1896
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1896 are 1, 2, 3, 4, 6, and so on.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 11 are prime factors of 1896.
- 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 1896 are (1, 1896), (2, 948), etc.
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 1896 is 24 × 33 × 11.
- Multiples: Numbers that can be divided by a given number without a remainder. For example, 1896 is a multiple of 6.
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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.
