101 LearnersLast updated on May 26th, 2025
Factors of 1822
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 1822, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1822?
The numbers that divide 1822 evenly are known as factors of 1822.
A factor of 1822 is a number that divides the number without a remainder.
The factors of 1822 are 1, 2, 7, 13, 14, 26, 91, 182, 911, and 1822.
Negative factors of 1822: -1, -2, -7, -13, -14, -26, -91, -182, -911, and -1822.
Prime factors of 1822: 2, 7, and 13.
Prime factorization of 1822: 2 × 7 × 13 × 13.
The sum of factors of 1822: 1 + 2 + 7 + 13 + 14 + 26 + 91 + 182 + 911 + 1822 = 3069
How to Find Factors of 1822?
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 1822. Identifying the numbers which are multiplied to get the number 1822 is the multiplication method.
Step 1: Multiply 1822 by 1, 1822 × 1 = 1822.
Step 2: Check for other numbers that give 1822 after multiplying
2 × 911 = 1822
7 × 260.2857 (not a factor)
13 × 140.1538 (not a factor)
Therefore, the positive factor pairs of 1822 include (1, 1822) and (2, 911).
Other computations were not factors as they didn’t yield whole numbers.
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 that result in whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 1822 by 1, 1822 ÷ 1 = 1822.
Step 2: Continue dividing 1822 by the numbers until the remainder becomes 0.
1822 ÷ 1 = 1822
1822 ÷ 2 = 911
1822 ÷ 7 = not a whole number
1822 ÷ 13 = not a whole number
1822 ÷ 14 = 130.1429 (not a factor)
Therefore, the factors of 1822 are: 1, 2, 911, and 1822.
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 1822 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1822 ÷ 2 = 911 911 is a prime number but can be expressed as 7 × 13²
The prime factors of 1822 are 2, 7, and 13.
The prime factorization of 1822 is: 2 × 7 × 13 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1822 is divided by 2 to get 911.
Step 2: 911 is a prime number but can be expressed as 7 × 13².
So, the prime factorization of 1822 is: 2 × 7 × 13 × 13.
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 1822: (1, 1822) and (2, 911).
Negative factor pairs of 1822: (-1, -1822) and (-2, -911).
Common Mistakes and How to Avoid Them in Factors of 1822
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 1822, 1 and 1822 are also factors.
Factors of 1822 Examples
Problem 1
There are 7 teams and 1822 participants in a tournament. How many participants will be in each team?
Each team will have 260 participants.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
1822/7 = 260
Problem 2
A rectangular garden has a length of 13 meters and a total area of 1822 square meters. Find the width.
The width is 140 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1822 = 13 × width
To find the value of width, we need to shift 13 to the left side.
1822/13 = width
Width = 140.
Problem 3
There are 26 crates and 1822 apples. How many apples will be in each crate?
Each crate will have 70 apples.
Explanation
To find the apples in each crate, divide the total apples by the number of crates.
1822/26 = 70
Problem 4
In a library, there are 1822 books and 2 sections. How many books are there in each section?
There are 911 books in each section.
Explanation
Dividing the books by the total sections, we will get the number of books in each section.
1822/2 = 911
Problem 5
1822 seeds need to be planted in 13 rows. How many seeds will go in each row?
Each of the rows will have 140 seeds.
Explanation
Divide total seeds by the number of rows.
1822/13 = 140
FAQs on Factors of 1822
1.What are the factors of 1822?
2.Mention the prime factors of 1822.
3.Is 1822 a multiple of 13?
4.Mention the factor pairs of 1822?
5.What is the square of 1822?
6.How can children in Thailand use numbers in everyday life to understand Factors of 1822?
7.What are some fun ways kids in Thailand can practice Factors of 1822 with numbers?
8.What role do numbers and Factors of 1822 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 1822 skills?
Important Glossaries for Factor of 1822
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1822 are 1, 2, 7, 13, 14, 26, 91, 182, 911, and 1822.
- Prime factors: The factors which are prime numbers. For example, 2, 7, and 13 are prime factors of 1822.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1822 is 2 × 7 × 13 × 13.
- 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 1822 are (1, 1822) and (2, 911).
- Multiple: A product of a number and an integer. For example, 1822 is a multiple of 13.
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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
: She loves to read number jokes and games.
