101 LearnersLast updated on May 26th, 2025
Factors of 891
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 891, how they are used in real life, and tips to learn them quickly.
What are the Factors of 891?
The numbers that divide 891 evenly are known as factors of 891.
A factor of 891 is a number that divides the number without remainder.
The factors of 891 are 1, 3, 9, 27, 33, 99, 297, and 891.
Negative factors of 891: -1, -3, -9, -27, -33, -99, -297, and -891.
Prime factors of 891: 3 and 11.
Prime factorization of 891: 34 × 11.
The sum of factors of 891: 1 + 3 + 9 + 27 + 33 + 99 + 297 + 891 = 1360
How to Find Factors of 891?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 891. Identifying the numbers which are multiplied to get the number 891 is the multiplication method.
Step 1: Multiply 891 by 1, 891 × 1 = 891.
Step 2: Check for other numbers that give 891 after multiplying.
3 × 297 = 891
9 × 99 = 891
27 × 33 = 891
Therefore, the positive factor pairs of 891 are: (1, 891), (3, 297), (9, 99), and (27, 33). All these factor pairs result in 891. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers by whole numbers until the remainder becomes zero and listing out the numbers that result as whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 891 by 1, 891 ÷ 1 = 891.
Step 2: Continue dividing 891 by the numbers until the remainder becomes 0.
891 ÷ 1 = 891
891 ÷ 3 = 297
891 ÷ 9 = 99
891 ÷ 27 = 33
Therefore, the factors of 891 are: 1, 3, 9, 27, 33, 99, 297, 891.
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 891 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
891 ÷ 3 = 297
297 ÷ 3 = 99
99 ÷ 3 = 33
33 ÷ 3 = 11
11 ÷ 11 = 1
The prime factors of 891 are 3 and 11.
The prime factorization of 891 is: 34 × 11.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 891 is divided by 3 to get 297.
Step 2: Now divide 297 by 3 to get 99.
Step 3: Then divide 99 by 3 to get 33.
Step 4: Divide 33 by 3 to get 11. Here, 11 is a prime number, that cannot be divided anymore. So, the prime factorization of 891 is: 3^4 × 11.
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 891: (1, 891), (3, 297), (9, 99), and (27, 33).
Negative factor pairs of 891: (-1, -891), (-3, -297), (-9, -99), and (-27, -33).
Common Mistakes and How to Avoid Them in Factors of 891
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 891, 1 and 891 are also factors.
Factors of 891 Examples
Problem 1
There are 9 teams and 891 players. How will they divide the players equally?
They will get 99 players each.
Explanation
To divide the players equally, we need to divide the total players with the number of teams.
891/9 = 99
Problem 2
A rectangular garden has a perimeter of 891 meters, and one side is 297 meters. Find the other side.
The other side is 148.5 meters.
Explanation
To find the other side, use the formula for the perimeter of a rectangle,
Perimeter = 2 × (length + width)
891 = 2 × (297 + width)
445.5 = 297 + width
Width = 148.5
Problem 3
There are 11 boxes and 891 marbles. How many marbles will be in each box?
Each box will have 81 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the boxes.
891/11 = 81
Problem 4
A group of 33 students is tasked with collecting 891 leaves. How many leaves will each student collect?
Each student will collect 27 leaves.
Explanation
Dividing the leaves by the total students, we will get the number of leaves each student collects.
891/33 = 27
Problem 5
891 books need to be distributed equally across 27 shelves. How many books will go on each shelf?
Each shelf will have 33 books.
Explanation
Divide total books by shelves.
891/27 = 33
FAQs on Factors of 891
1.What are the factors of 891?
2.Mention the prime factors of 891.
3.Is 891 a multiple of 9?
4.Mention the factor pairs of 891?
5.What is the square of 891?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 891?
7.What are some fun ways kids in Vietnam can practice Factors of 891 with numbers?
8.What role do numbers and Factors of 891 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 891 skills?
Important Glossaries for Factors of 891
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 891 are 1, 3, 9, 27, 33, 99, 297, and 891.
- Prime factors: The factors which are prime numbers. For example, 3 and 11 are prime factors of 891.
- 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 891 are (1, 891), (3, 297), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 891 is 34 × 11.
- Multiplication method: A way to find factors by identifying pairs of numbers that multiply to give the original number. For example, using 9 × 99 to find factors of 891.
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About BrightChamps in Vietnam
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.
