141 LearnersLast updated on May 28th, 2025
Factors of 1829
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 1829, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1829?
The numbers that divide 1829 evenly are known as factors of 1829.
A factor of 1829 is a number that divides the number without remainder.
The factors of 1829 are 1, 13, 19, 247, and 1829. Negative factors of 1829: -1, -13, -19, -247, and -1829.
Prime factors of 1829: 13 and 19. Prime factorization of 1829: 13 × 19 × 7.
The sum of factors of 1829: 1 + 13 + 19 + 247 + 1829 = 2109
How to Find Factors of 1829?
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 1829. Identifying the numbers which are multiplied to get 1829 is the multiplication method.
Step 1: Multiply 1829 by 1, 1829 × 1 = 1829.
Step 2: Check for other numbers that give 1829 after multiplying
13 × 19 = 247
19 × 13 = 247
Therefore, the positive factor pairs of 1829 are: (1, 1829), (13, 19), and (19, 13).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers that result as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 1829 by 1, 1829 ÷ 1 = 1829.
Step 2: Continue dividing 1829 by the numbers until the remainder becomes 0.
1829 ÷ 1 = 1829
1829 ÷ 13 = 141
1829 ÷ 19 = 96.263 (not a factor)
1829 ÷ 247 = 7.4 (not a factor)
Therefore, the factors of 1829 are: 1, 13, 19, 247, and 1829.
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 1829 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1829 ÷ 13 = 141
141 ÷ 13 = 10.84 (not a factor)
141 ÷ 19 = 7.42 (not a factor)
Therefore, the prime factors of 1829 are 13 and 19.
The prime factorization of 1829 is: 13 × 19.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1829 is divided by 13 to get 141.
Step 2: Now divide 141 by 19 to get 7.42 (not a factor)
Here, 19 is a prime number and cannot be divided anymore.
So, the prime factorization of 1829 is: 13 × 19.
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 1829: (1, 1829), (13, 19), and (19, 13).
Negative factor pairs of 1829: (-1, -1829), (-13, -19), and (-19, -13).
Common Mistakes and How to Avoid Them in Factors of 1829
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 1829, 1 and 1829 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors. F
or example, the factors of 1829 consist of -1, -13, -19, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 is a factor because 1829/1.5 does not result in 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 1829 are prime numbers.
For example, 13 and 19 are the prime factors of 1829, but it has other factors like 1 and 1829.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1829 into 13 × 19 and missing all the key factors.
Factors of 1829 Examples
Problem 1
There are 13 teams and 1829 points. How will they divide the points equally?
They will get 141 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
1829/13 = 141
Problem 2
A parcel service has a rectangular storage box with a length of 19 meters and a total area of 1829 square meters. Find the width.
96.263 meters.
Explanation
To find the width of the storage box, we use the formula,
Area = length × width
1829 = 19 × width
To find the value of width, we need to shift 19 to the left side.
1829/19 = width
Width = 96.263.
Problem 3
There are 247 envelopes and 1829 stamps. How many stamps will be in each envelope?
Each envelope will have 7 stamps.
Explanation
To find the stamps in each envelope, divide the total stamps by the envelopes.
1829/247 = 7
Problem 4
In a club, there are 1829 members, and 19 groups. How many members are there in each group?
There are 96.263 members in each group.
Explanation
Dividing the members by the total groups, we will get the number of members in each group.
1829/19 = 96.263
Problem 5
1829 files need to be arranged in 13 shelves. How many files will go on each shelf?
Each of the shelves will have 140.692 files.
Explanation
Divide total files by shelves.
1829/13 = 140.692
FAQs on Factors of 1829
1.What are the factors of 1829?
2.Mention the prime factors of 1829.
3.Is 1829 a multiple of 247?
4.Mention the factor pairs of 1829?
5.What is the square of 1829?
6.How can children in United States use numbers in everyday life to understand Factors of 1829?
7.What are some fun ways kids in United States can practice Factors of 1829 with numbers?
8.What role do numbers and Factors of 1829 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 1829 skills?
Important Glossaries for Factor of 1829
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1829 are 1, 13, 19, 247, and 1829.
- Prime factors: The factors which are prime numbers. For example, 13 and 19 are prime factors of 1829.
- 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 1829 are (1, 1829), (13, 19), etc.
- Prime Factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1829 is 13 × 19.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 1829 is a multiple of 247.
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About BrightChamps in United States
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.
