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 823, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 823 evenly are known as factors of 823.
A factor of 823 is a number that divides the number without remainder.
The factors of 823 are 1 and 823.
Negative factors of 823: -1 and -823.
Prime factors of 823: 823 (since 823 is a prime number).
The sum of factors of 823: 1 + 823 = 824
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 823. Since 823 is a prime number, it only has one multiplication pair:
Step 1: Multiply 823 by 1, 823 × 1 = 823.
Therefore, the positive factor pairs of 823 are: (1, 823).
For every positive factor, there is a negative factor.
Dividing the given number by whole numbers until the remainder becomes zero helps list the numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 823 by 1, 823 ÷ 1 = 823.
Step 2: Since 823 is a prime number, no other numbers will divide it evenly.
Therefore, the factors of 823 are: 1 and 823.
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: Since 823 is a prime number, the prime factorization of 823 is 823 itself.
The factor tree is a graphical representation of breaking down any number into prime factors. However, since 823 is a prime number, the factor tree is quite simple:
Step 1: 823 is already prime and cannot be broken down further. So, the prime factorization of 823 is: 823.
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 823: (1, 823).
Negative factor pairs of 823: (-1, -823).
Mistakes are common while finding factors. We can identify and correct these mistakes using the following common mistakes and the ways to avoid them.
There are 823 marbles and 1 box. How many marbles will fit in each box?
All 823 marbles will fit in the box.
To find out, divide the total number of marbles by the number of boxes.
823/1 = 823
A plot of land is square-shaped with an area of 823 square meters. What is the side length of the plot?
Since 823 is not a perfect square, the side length is not a whole number.
For a square plot, side = √area.
√823 does not yield a whole number, so the side length is not a perfect integer.
You have 1 long ribbon of 823 meters. If you cut it into equal pieces, how many pieces will you get if each piece is 1 meter?
You will have 823 pieces.
To find the number of pieces, divide the ribbon length by the piece length.
823/1 = 823
There are 823 participants in a marathon and each participant gets 1 bib number. How many bib numbers do you need?
You need 823 bib numbers.
Each participant receives one bib number, so you need as many bib numbers as there are participants.
823 x 1 = 823
You have 823 stickers and want to distribute them equally among 823 friends. How many stickers will each friend get?
Each friend will get 1 sticker.
To divide the stickers equally, divide the total number of stickers by the number of friends.
823/823 = 1
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.