Last updated on May 28th, 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 1829, how they are used in real life, and tips to learn them quickly.
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
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 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.
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.
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 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.
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).
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 13 teams and 1829 points. How will they divide the points equally?
They will get 141 points each.
To divide the points equally, we need to divide the total points by the number of teams.
1829/13 = 141
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.
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.
There are 247 envelopes and 1829 stamps. How many stamps will be in each envelope?
Each envelope will have 7 stamps.
To find the stamps in each envelope, divide the total stamps by the envelopes.
1829/247 = 7
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.
Dividing the members by the total groups, we will get the number of members in each group.
1829/19 = 96.263
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.
Divide total files by shelves.
1829/13 = 140.692
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.