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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 824, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 824 evenly are known as factors of 824.
A factor of 824 is a number that divides the number without remainder.
The factors of 824 are 1, 2, 4, 8, 103, 206, 412, and 824.
Negative factors of 824: -1, -2, -4, -8, -103, -206, -412, and -824.
Prime factors of 824: 2 and 103.
Prime factorization of 824: (23 times 103).
The sum of factors of 824: 1 + 2 + 4 + 8 + 103 + 206 + 412 + 824 = 1560
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 824. Identifying the numbers which are multiplied to get the number 824 is the multiplication method.
Step 1: Multiply 824 by 1, 824 × 1 = 824.
Step 2: Check for other numbers that give 824 after multiplying
2 × 412 = 824
4 × 206 = 824
8 × 103 = 824
Therefore, the positive factor pairs of 824 are: (1, 824), (2, 412), (4, 206), (8, 103).
All these factor pairs result in 824.
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 which result as whole numbers as factors. Factors can be calculated by following the simple division method
Step 1: Divide 824 by 1, 824 ÷ 1 = 824.
Step 2: Continue dividing 824 by the numbers until the remainder becomes 0.
824 ÷ 1 = 824
824 ÷ 2 = 412
824 ÷ 4 = 206
824 ÷ 8 = 103
Therefore, the factors of 824 are: 1, 2, 4, 8, 103, 206, 412, and 824.
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 824 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
824 ÷ 2 = 412
412 ÷ 2 = 206
206 ÷ 2 = 103
103 ÷ 103 = 1
The prime factors of 824 are 2 and 103.
The prime factorization of 824 is: (23 times 103).
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 824 is divided by 2 to get 412.
Step 2: Now divide 412 by 2 to get 206.
Step 3: Then divide 206 by 2 to get 103. Here, 103 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 824 is: \(2^3 \times 103\).
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 824: (1, 824), (2, 412), (4, 206), and (8, 103).
Negative factor pairs of 824: (-1, -824), (-2, -412), (-4, -206), and (-8, -103).
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 8 teams and 824 points. How will the points be divided equally among the teams?
Each team will get 103 points.
To divide the points equally, we need to divide the total points by the number of teams.
824/8 = 103
A garden is rectangular, the length of the garden is 206 meters and the total area is 824 square meters. Find the width.
4 meters.
To find the width of the garden, we use the formula, Area = length × width
824 = 206 × width
To find the value of width, we need to shift 206 to the left side.
824/206 = width
Width = 4.
There are 206 bags and 824 apples. How many apples will be in each bag?
Each bag will have 4 apples.
To find the apples in each bag, divide the total apples by the bags.
824/206 = 4
In a concert, there are 824 seats and 4 sections. How many seats are there in each section?
There are 206 seats in each section.
Dividing the seats by the total sections, we will get the number of seats in each section.
824/4 = 206
824 books need to be arranged in 8 bookshelves. How many books will go on each shelf?
Each of the bookshelves has 103 books.
Divide total books by shelves.
824/8 = 103
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.