134 LearnersLast updated on May 26th, 2025
Factors of 1813
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.
What are the Factors of 1813?
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
How to Find Factors of 1813?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 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.
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 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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1813
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1813, 1 and 1813 are also factors.
Mistake 2
Missing Negative Factors
We have often used only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 1813 consist of -1, -37, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1813 ÷ 1.5 does not result in a whole number, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not just primes. For example, thinking all the factors of 1813 are prime numbers.
For example, 37 and 49 are the prime factors of 1813, but it also has other factors like 1 and 1813.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1813 as 37 × 49 and missing all the key factors.
Factors of 1813 Examples
Problem 1
There are 37 students and 1813 candies. How will they divide it equally?
They will get 49 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of students.
1813 ÷ 37 = 49
Problem 2
A rectangular garden has a length of 37 meters and a total area of 1813 square meters. Find the width.
49 meters.
Explanation
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.
Problem 3
There are 1813 apples and 49 crates. How many apples will be in each crate?
Each crate will have 37 apples.
Explanation
To find the apples in each crate, divide the total apples by the number of crates.
1813 ÷ 49 = 37
FAQs on Factors of 1813
1.What are the factors of 1813?
2.Mention the prime factors of 1813.
3.Is 1813 a multiple of 37?
4.Mention the factor pairs of 1813?
5.What is the square of 1813?
6.How can children in Qatar use numbers in everyday life to understand Factors of 1813?
7.What are some fun ways kids in Qatar can practice Factors of 1813 with numbers?
8.What role do numbers and Factors of 1813 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 1813 skills?
Important Glossaries for Factors of 1813
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1813 are 1, 37, 49, and 1813.
- Prime factors: The factors which are prime numbers. For example, 37 and 49 are prime factors of 1813.
- 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 1813 are (1, 1813) and (37, 49).
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1813 is 37 × 49.
- Negative factors: Factors that are negative. For example, -1, -37, -49, and -1813 are negative factors of 1813.
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About BrightChamps in Qatar
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.
