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 items equally, arranging things, etc. In this topic, we will learn about the factors of 1029, how they are used in real life, and tips to learn them quickly.
The numbers that divide 1029 evenly are known as factors of 1029.
A factor of 1029 is a number that divides the number without remainder.
The factors of 1029 are 1, 3, 343, and 1029.
Negative factors of 1029 are -1, -3, -343, and -1029.
Prime factors of 1029: 3 and 343.
Prime factorization of 1029: 3 × 343.
The sum of factors of 1029: 1 + 3 + 343 + 1029 = 1376
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 1029. Identifying the numbers which are multiplied to get the number 1029 is the multiplication method.
Step 1: Multiply 1029 by 1, 1029 × 1 = 1029.
Step 2: Check for other numbers that give 1029 after multiplying 3 × 343 = 1029
Therefore, the positive factor pairs of 1029 are: (1, 1029) and (3, 343). All these factor pairs result in 1029. 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 the simple division method -
Step 1: Divide 1029 by 1, 1029 ÷ 1 = 1029.
Step 2: Continue dividing 1029 by the numbers until the remainder becomes 0.
1029 ÷ 1 = 1029
1029 ÷ 3 = 343
Therefore, the factors of 1029 are: 1, 3, 343, 1029.
The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:
- Using prime factorization
- Using a factor tree
Using Prime Factorization: In this process, prime factors of 1029 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1029 ÷ 3 = 343 343 is a prime number, so the process ends here.
The prime factors of 1029 are 3 and 343.
The prime factorization of 1029 is: 3 × 343.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1029 is divided by 3 to get 343.
Step 2: 343 is a prime number and cannot be divided further. So, the prime factorization of 1029 is: 3 × 343.
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 1029: (1, 1029) and (3, 343).
Negative factor pairs of 1029: (-1, -1029) and (-3, -343).
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 343 students and 1029 candies. How will they divide it equally?
They will get 3 candies each.
To divide the candies equally, we need to divide the total candies by the number of students.
1029/343 = 3
A plot is rectangular, the length of the plot is 343 meters and the total area is 1029 square meters. Find the width?
3 meters.
To find the width of the plot, we use the formula,
Area = length × width
1029 = 343 × width
To find the value of width, we need to shift 343 to the left side.
1029/343 = width
Width = 3.
There are 3 containers and 1029 liters of water. How many liters will be in each container?
Each container will have 343 liters.
To find the liters in each container, divide the total liters by the number of containers.
1029/3 = 343
In a community, there are 1029 members and 3 events. How many members are there in each event?
There are 343 members in each event.
Dividing the members by the total events, we will get the number of members in each event.
1029/3 = 343
1029 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 343 books.
Divide total books by shelves.
1029/3 = 343
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.