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 801, how they are used in real life, and tips to learn them quickly.
The numbers that divide 801 evenly are known as factors of 801.
A factor of 801 is a number that divides the number without remainder.
The factors of 801 are 1, 3, 9, 89, 267, and 801.
Negative factors of 801: -1, -3, -9, -89, -267, and -801.
Prime factors of 801: 3 and 89.
Prime factorization of 801: 3² × 89.
The sum of factors of 801: 1 + 3 + 9 + 89 + 267 + 801 = 1170
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 801. Identifying the numbers which are multiplied to get the number 801 is the multiplication method.
Step 1: Multiply 801 by 1, 801 × 1 = 801.
Step 2: Check for other numbers that give 801 after multiplying
3 × 267 = 801
9 × 89 = 801
Therefore, the positive factor pairs of 801 are: (1, 801), (3, 267), (9, 89). All these factor pairs result in 801.
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 801 by 1, 801 ÷ 1 = 801.
Step 2: Continue dividing 801 by the numbers until the remainder becomes 0.
801 ÷ 1 = 801
801 ÷ 3 = 267
801 ÷ 9 = 89
Therefore, the factors of 801 are: 1, 3, 9, 89, 267, 801.
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 801 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
801 ÷ 3 = 267
267 ÷ 3 = 89
89 ÷ 89 = 1
The prime factors of 801 are 3 and 89.
The prime factorization of 801 is: 3² × 89.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 801 is divided by 3 to get 267.
Step 2: Now divide 267 by 3 to get 89.
Step 3: Divide 89 by 89 to get 1. Here, 89 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 801 is: 3² × 89.
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 801: (1, 801), (3, 267), and (9, 89).
Negative factor pairs of 801: (-1, -801), (-3, -267), and (-9, -89).
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 9 classrooms and 801 chairs. How will they distribute the chairs equally?
They will get 89 chairs each.
To distribute the chairs equally, we need to divide the total chairs with the number of classrooms.
801/9 = 89
A garden is rectangular, the length of the garden is 89 meters and the total area is 801 square meters. Find the width?
9 meters.
To find the width of the garden, we use the formula, Area = length × width
801 = 89 × width
To find the value of width, we need to shift 89 to the left side.
801/89 = width
Width = 9.
There are 267 boxes and 801 marbles. How many marbles will be in each box?
Each box will have 3 marbles.
To find the marbles in each box, divide the total marbles with the boxes.
801/267 = 3
In a conference, there are 801 participants, and 3 sessions. How many participants are there in each session?
There are 267 participants in each session.
Dividing the participants with the total sessions, we will get the number of participants in each session.
801/3 = 267
801 pages need to be arranged in 3 binders. How many pages will go in each binder?
Each of the binders has 267 pages.
Divide total pages with the binders.
801/3 = 267
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.