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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 1813, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1813 evenly are known as factors of 1813.
A factor of 1813 is a number that divides the number without remainder.
The factors of 1813 are 1, 37, 49, and 1813.
Negative factors of 1813: -1, -37, -49, and -1813.
Prime factors of 1813: 37 and 49.
Prime factorization of 1813: 37 × 49.
The sum of factors of 1813: 1 + 37 + 49 + 1813 = 1900
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 1813. Identifying the numbers which are multiplied to get the number 1813 is the multiplication method.
Step 1: Multiply 1813 by 1, 1813 × 1 = 1813.
Step 2: Check for other numbers that give 1813 after multiplying 37 × 49 = 1813
Therefore, the positive factor pairs of 1813 are: (1, 1813) and (37, 49).
All these factor pairs result in 1813.
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 1813 by 1, 1813 ÷ 1 = 1813.
Step 2: Continue dividing 1813 by the numbers until the remainder becomes 0.
1813 ÷ 1 = 1813
1813 ÷ 37 = 49
Therefore, the factors of 1813 are: 1, 37, 49, and 1813.
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 1813 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1813 ÷ 37 = 49
The prime factors of 1813 are 37 and 49.
The prime factorization of 1813 is: 37 × 49.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1813 is divided by 37 to get 49.
Here, 49 is the smallest prime number that cannot be divided further.
So, the prime factorization of 1813 is: 37 × 49.
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 1813: (1, 1813) and (37, 49).
Negative factor pairs of 1813: (-1, -1813) and (-37, -49).
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 37 students and 1813 candies. How will they divide it equally?
They will get 49 candies each.
To divide the candies equally, we need to divide the total candies with the number of students.
1813 ÷ 37 = 49
A rectangular garden has a length of 37 meters and a total area of 1813 square meters. Find the width.
49 meters.
To find the width of the garden, we use the formula,
Area = length × width
1813 = 37 × width
To find the value of width, we need to shift 37 to the left side.
1813 ÷ 37 = width
Width = 49.
There are 1813 apples and 49 crates. How many apples will be in each crate?
Each crate will have 37 apples.
To find the apples in each crate, divide the total apples by the number of crates.
1813 ÷ 49 = 37
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.