Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without a 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 807, how they are used in real life, and tips to learn them quickly.
The numbers that divide 807 evenly are known as factors of 807.
A factor of 807 is a number that divides the number without remainder.
The factors of 807 are 1, 3, 269, and 807.
Negative factors of 807: -1, -3, -269, and -807.
Prime factors of 807: 3 and 269.
Prime factorization of 807: 3 × 269.
The sum of factors of 807: 1 + 3 + 269 + 807 = 1080
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 807. Identifying the numbers which are multiplied to get the number 807 is the multiplication method.
Step 1: Multiply 807 by 1, 807 × 1 = 807.
Step 2: Check for other numbers that give 807 after multiplying
3 × 269 = 807
Therefore, the positive factor pairs of 807 are: (1, 807) and (3, 269).
All these factor pairs result in 807.
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 a simple division method
Step 1: Divide 807 by 1, 807 ÷ 1 = 807.
Step 2: Continue dividing 807 by the numbers until the remainder becomes 0.
807 ÷ 1 = 807
807 ÷ 3 = 269
Therefore, the factors of 807 are: 1, 3, 269, and 807.
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 807 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
807 ÷ 3 = 269
269 ÷ 269 = 1
The prime factors of 807 are 3 and 269.
The prime factorization of 807 is: 3 × 269.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 807 is divided by 3 to get 269.
Step 2: 269 is a prime number and cannot be divided further. So, the prime factorization of 807 is: 3 × 269.
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 807: (1, 807) and (3, 269).
Negative factor pairs of 807: (-1, -807) and (-3, -269).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A group of 3 friends wants to buy 807 apples. If they want to divide them equally, how many apples will each friend get?
Each friend will get 269 apples.
To divide the apples equally, we need to divide the total apples by the number of friends.
807/3 = 269
A piece of land is to be divided into equal sections for 807 trees. If each section contains 1 tree, how many sections will there be?
There will be 807 sections.
To find the number of sections, we use the number of trees per section,
807/1 = 807
A concert hall has 807 seats, and tickets are sold in groups of 3. How many groups are formed?
269 groups are formed.
To find the number of groups, divide the total seats by the group size.
807/3 = 269
In a factory, 807 machines are placed in rows of 3. How many machines are there in each row?
There are 269 machines in each row.
Dividing the machines by the number of rows gives the number of machines per row.
807/3 = 269
807 books need to be placed on 1 shelf. How many books will go on the shelf?
All 807 books will go on the shelf.
Since there is only one shelf, all books go on it.
807/1 = 807
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.