117 LearnersLast updated on May 26th, 2025
Factors of 1893
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 1893, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1893?
The numbers that divide 1893 evenly are known as factors of 1893.
A factor of 1893 is a number that divides the number without remainder.
The factors of 1893 are 1, 3, 631, and 1893.
Negative factors of 1893: -1, -3, -631, and -1893.
Prime factors of 1893: 3 and 631.
Prime factorization of 1893: 3 × 631.
The sum of factors of 1893: 1 + 3 + 631 + 1893 = 2528
How to Find Factors of 1893?
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 1893. Identifying the numbers that are multiplied to get the number 1893 is the multiplication method.
Step 1: Multiply 1893 by 1, 1893 × 1 = 1893.
Step 2: Check for other numbers that give 1893 after multiplying
3 × 631 = 1893
Therefore, the positive factor pairs of 1893 are: (1, 1893), (3, 631). 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 1893 by 1, 1893 ÷ 1 = 1893.
Step 2: Continue dividing 1893 by the numbers until the remainder becomes 0.
1893 ÷ 1 = 1893
1893 ÷ 3 = 631
Therefore, the factors of 1893 are: 1, 3, 631, 1893.
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 1893 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1893 ÷ 3 = 631
631 ÷ 631 = 1
The prime factors of 1893 are 3 and 631.
The prime factorization of 1893 is: 3 × 631.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1893 is divided by 3 to get 631.
Step 2: 631 is already a prime number, so it cannot be divided further. So, the prime factorization of 1893 is: 3 × 631.
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 1893: (1, 1893), (3, 631).
Negative factor pairs of 1893: (-1, -1893), (-3, -631).
Common Mistakes and How to Avoid Them in Factors of 1893
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 1893, 1 and 1893 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 1893 consist of -1, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1893/1.5 = 1262, 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 1893 are prime numbers. For example, 3 and 631 are the prime factors of 1893, but it has other factors like 1 and 1893.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1893 as 3 × 631 and missing all the key factors.
Factors of 1893 Examples
Problem 1
There are 3 friends and 1893 marbles. How will they divide them equally?
They will get 631 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of friends.
1893/3 = 631
Problem 2
A rectangular garden has a length of 3 meters and a total area of 1893 square meters. Find the width?
631 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
1893 = 3 × width
To find the value of width, we need to shift 3 to the left side.
1893/3 = width
Width = 631.
Problem 3
There are 631 chairs and 1893 people. How many people will sit on each chair?
Each chair will have 3 people.
Explanation
To find the number of people on each chair, divide the total people by the number of chairs.
1893/631 = 3
Problem 4
In a class, there are 1893 students, and 3 groups. How many students are there in each group?
There are 631 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1893/3 = 631
Problem 5
A library has 1893 books and 3 shelves. How many books will go on each shelf?
Each shelf will have 631 books.
Explanation
Divide total books by shelves.
1893/3 = 631
FAQs on Factors of 1893
1.What are the factors of 1893?
2.Mention the prime factors of 1893.
3.Is 1893, a multiple of 3?
4.Mention the factor pairs of 1893?
5.What is the square of 1893?
6.How can children in India use numbers in everyday life to understand Factors of 1893?
7.What are some fun ways kids in India can practice Factors of 1893 with numbers?
8.What role do numbers and Factors of 1893 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 1893 skills?
Important Glossaries for Factor of 1893
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1893 are 1, 3, 631, and 1893.
- Prime factors: The factors which are prime numbers. For example, 3 and 631 are prime factors of 1893.
- 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 1893 are (1, 1893) and (3, 631).
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1893 is 3 × 631.
- Prime number: A number that has exactly two distinct positive divisors: 1 and itself. For example, 631 is a prime number.
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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.
Fun Fact
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