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 827, how they are used in real life, and tips to learn them quickly.
The numbers that divide 827 evenly are known as factors of 827.
A factor of 827 is a number that divides the number without remainder.
The factors of 827 are 1 and 827.
Negative factors of 827: -1 and -827.
Since 827 is a prime number, it has no prime factors other than itself.
The prime factorization of 827 is simply 827.
The sum of factors of 827: 1 + 827 = 828
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 827. For a prime number like 827, the only multiplication pair is:
Step 1: Multiply 827 by 1, 827 × 1 = 827.
Therefore, the only positive factor pair of 827 is: (1, 827).
For every positive factor, there is a corresponding 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 827 by 1, 827 ÷ 1 = 827.
Step 2: Continue dividing 827 by the numbers until the remainder becomes 0.
827 ÷ 1 = 827
Since 827 is a prime number, dividing by any number other than 1 and 827 results in a remainder.
Therefore, the factors of 827 are: 1 and 827.
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: In this process, prime factors of 827 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
Since 827 is a prime number, it cannot be broken down further.
The prime factorization of 827 is simply 827.
The factor tree is the graphical representation of breaking down any number into prime factors. In the case of 827, since it is a prime number, the factor tree is quite simple:
Step 1: 827 is a prime number and cannot be divided further. So, the prime factorization of 827 is simply 827.
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 827: (1, 827).
Negative factor pairs of 827: (-1, -827).
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 2 teams and 827 apples. How will they divide it equally?
They cannot divide the apples equally without a remainder.
To divide the apples equally, we need to divide the total apples by the number of teams. Since 827 is a prime number, dividing by any number other than 1 or 827 will leave a remainder.
A company has 827 chairs and wants to distribute them equally among 5 offices. How many chairs will each office receive?
Each office will receive 165 chairs with 2 chairs remaining.
To divide the chairs equally, we divide the total number of chairs by the number of offices.
827 ÷ 5 = 165 R2
There are 827 students and 3 buses. How many students will be on each bus?
Each bus will have 275 students with 2 students remaining.
To find the number of students on each bus, divide the total students by the number of buses.
827 ÷ 3 = 275 R2
An estate agent has 827 houses and wants to allocate them equally among 7 managers. How many houses will each manager get?
Each manager will get 118 houses with 1 house remaining.
To allocate the houses equally, we divide the total number of houses by the number of managers.
827 ÷ 7 = 118 R1
A library has 827 books that need to be distributed evenly across 4 sections. How many books will each section have?
Each section will have 206 books with 3 books remaining.
Divide the total books by the number of sections.
827 ÷ 4 = 206 R3
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.