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 802, how they are used in real life, and tips to learn them quickly.
The numbers that divide 802 evenly are known as factors of 802.
A factor of 802 is a number that divides the number without remainder.
The factors of 802 are 1, 2, 401, and 802.
Negative factors of 802: -1, -2, -401, and -802.
Prime factors of 802: 2 and 401.
Prime factorization of 802: 2 × 401.
The sum of factors of 802: 1 + 2 + 401 + 802 = 1206
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 802. Identifying the numbers which are multiplied to get the number 802 is the multiplication method.
Step 1: Multiply 802 by 1, 802 × 1 = 802.
Step 2: Check for other numbers that give 802 after multiplying
2 × 401 = 802
Therefore, the positive factor pairs of 802 are: (1, 802) and (2, 401).
All these factor pairs result in 802.
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 a simple division method
Step 1: Divide 802 by 1, 802 ÷ 1 = 802.
Step 2: Continue dividing 802 by the numbers until the remainder becomes 0.
802 ÷ 1 = 802
802 ÷ 2 = 401
Therefore, the factors of 802 are: 1, 2, 401, 802.
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 802 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
802 ÷ 2 = 401
401 ÷ 401 = 1
The prime factors of 802 are 2 and 401.
The prime factorization of 802 is: 2 × 401.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 802 is divided by 2 to get 401.
Step 2: Now divide 401 by 401 to get 1. Here, 401 is a prime number that cannot be divided anymore. So, the prime factorization of 802 is: 2 × 401.
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 802: (1, 802) and (2, 401).
Negative factor pairs of 802: (-1, -802) and (-2, -401).
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 company has 4 departments and 802 files. How will they distribute them equally?
Each department will get 200 files.
To distribute the files equally, we need to divide the total files by the number of departments. 802/4 = 200.5 (Since 4 is not a factor of 802, files cannot be distributed equally without splitting files.)
A rectangular billboard has a length of 2 meters and a total area of 802 square meters. Find the width.
401 meters.
To find the width of the billboard, we use the formula, Area = length × width
802 = 2 × width
To find the value of width, we need to shift 2 to the left side.
802/2 = width
Width = 401.
There are 802 pages in a book and 2 sections. How many pages are in each section?
Each section will have 401 pages.
To find the pages in each section, divide the total pages by the number of sections.
802/2 = 401
A conference has 802 attendees and 2 seating areas. How many attendees will be in each area?
There are 401 attendees in each seating area.
Dividing the attendees by the total seating areas, we will get the number of attendees in each area.
802/2 = 401
802 plants need to be arranged in 2 gardens. How many plants will go in each garden?
Each of the gardens has 401 plants.
Divide total plants by gardens.
802/2 = 401
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.