120 LearnersLast updated on May 26th, 2025
Factors of 801
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.
What are the Factors of 801?
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
How to Find Factors of 801?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
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.
Finding Factors Using Division Method
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.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 801
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every whole number. Always remember to include 1 and the number itself.
For example, in factors of 801, 1 and 801 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 801 consist of -1, -3, -9, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 801/1.5 = 534, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 801 are prime numbers. For example, 3 and 89 are the prime factors of 801, but it has other factors like 9 and 267.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up in writing wrong factors.
For example, not breaking 801 as 3² × 89 and missing all the key factors.
Factors of 801 Examples
Problem 1
There are 9 classrooms and 801 chairs. How will they distribute the chairs equally?
They will get 89 chairs each.
Explanation
To distribute the chairs equally, we need to divide the total chairs with the number of classrooms.
801/9 = 89
Problem 2
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.
Explanation
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.
Problem 3
There are 267 boxes and 801 marbles. How many marbles will be in each box?
Each box will have 3 marbles.
Explanation
To find the marbles in each box, divide the total marbles with the boxes.
801/267 = 3
Problem 4
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.
Explanation
Dividing the participants with the total sessions, we will get the number of participants in each session.
801/3 = 267
Problem 5
801 pages need to be arranged in 3 binders. How many pages will go in each binder?
Each of the binders has 267 pages.
Explanation
Divide total pages with the binders.
801/3 = 267
FAQs on Factors of 801
1.What are the factors of 801?
2.Mention the prime factors of 801.
3.Is 801 a multiple of 9?
4.Mention the factor pairs of 801?
5.What is the square of 801?
Important Glossaries for Factor of 801
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 801 are 1, 3, 9, 89, 267, and 801.
- Prime factors: The factors which are prime numbers. For example, 3 and 89 are prime factors of 801.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 801 are (1, 801), (3, 267), etc.
- Prime factorization: The process of breaking down a number into its prime factors. For example, 801 = 3² × 89.
- Negative factors: Factors that are negative. For example, -1, -3, -9, etc., are negative factors of 801.
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Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
