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 1893, how they are used in real life, and the tips to learn them quickly.
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
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 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.
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.
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 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.
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).
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 3 friends and 1893 marbles. How will they divide them equally?
They will get 631 marbles each.
To divide the marbles equally, we need to divide the total marbles by the number of friends.
1893/3 = 631
A rectangular garden has a length of 3 meters and a total area of 1893 square meters. Find the width?
631 meters.
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.
There are 631 chairs and 1893 people. How many people will sit on each chair?
Each chair will have 3 people.
To find the number of people on each chair, divide the total people by the number of chairs.
1893/631 = 3
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.
Dividing the students by the total groups, we will get the number of students in each group.
1893/3 = 631
A library has 1893 books and 3 shelves. How many books will go on each shelf?
Each shelf will have 631 books.
Divide total books by shelves.
1893/3 = 631
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.