141 LearnersLast updated on May 26th, 2025
Factors of 881
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 881, how they are used in real life, and tips to learn them quickly.
What are the Factors of 881?
The numbers that divide 881 evenly are known as factors of 881.
A factor of 881 is a number that divides the number without a remainder.
The factors of 881 are 1, 7, 11, 13, 77, 91, 143, and 881.
Negative factors of 881: -1, -7, -11, -13, -77, -91, -143, and -881.
Prime factors of 881: 7, 11, and 13.
Prime factorization of 881: 7 × 11 × 13.
The sum of factors of 881: 1 + 7 + 11 + 13 + 77 + 91 + 143 + 881 = 1224
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How to Find Factors of 881?
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 881. Identifying the numbers which are multiplied to get the number 881 is the multiplication method.
Step 1: Multiply 881 by 1, 881 × 1 = 881.
Step 2: Check for other numbers that give 881 after multiplying 7 × 11 × 13 = 881
Therefore, the positive factor pairs of 881 are: (1, 881), (7, 11, 13).
All these factor pairs result in 881. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
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 881 by 1, 881 ÷ 1 = 881.
Step 2: Continue dividing 881 by the numbers until the remainder becomes 0.
881 ÷ 1 = 881
881 ÷ 7 = 126.1428... (not a factor)
881 ÷ 11 = 80.0909... (not a factor)
881 ÷ 13 = 67.7692... (not a factor) Continue until all combinations are exhausted.
Therefore, the factors of 881 are: 1, 7, 11, 13, 77, 91, 143, 881.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 881 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
881 ÷ 7 = 126.1428...
881 ÷ 11 = 80.0909...
881 ÷ 13 = 67.7692...
The prime factors of 881 are 7, 11, and 13.
The prime factorization of 881 is: 7 × 11 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, try to divide 881 by 7, 11, and 13 until you find the prime factors. So, the prime factorization of 881 is: 7 × 11 × 13.
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 881: (1, 881), (7, 11, 13).
Negative factor pairs of 881: (-1, -881), (-7, -11, -13).
Common Mistakes and How to Avoid Them in Factors of 881
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 number. Always remember to include 1 and the number itself.
For example, in factors of 881, 1 and 881 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 881 consist of -1, -7, -11, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor cannot happen since 881 divided by 1.5 does not yield 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 881 are prime numbers.
For example, 7, 11, and 13 are the prime factors of 881, but it has other factors like 77 and 91.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 881 as 7 × 11 × 13 and missing all the key factors.
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Factors of 881 Examples
Problem 1
There are 7 teams and 881 candies. How will they divide it equally?
They will get 126 candies each with 3 candies left over.
Explanation
To divide the candies equally, we need to divide the total candies by the number of teams.
881 ÷ 7 = 126 R3
Problem 2
A theater has 11 rows and a total of 881 seats. How many seats are in each row?
Not possible to divide equally.
Explanation
To find the number of seats in each row, we divide the total seats by the number of rows.
881 ÷ 11 = 80.0909... (not an integer)
Problem 3
There are 13 musicians and 881 music sheets. How many sheets will each musician get?
Each musician will get 67 sheets with 10 sheets left over.
Explanation
To find the sheets per musician, divide the total sheets by the musicians.
881 ÷ 13 = 67 R10
Problem 4
A company has 881 files and wants to distribute them into 77 folders. How many files per folder?
Each folder will have 11 files.
Explanation
Dividing the files by the total folders, we get the number of files in each folder.
881 ÷ 77 = 11
Problem 5
There are 143 students and 881 books. How many books will each student receive?
Each student will receive 6 books with 3 books left over.
Explanation
Divide the total books by the number of students.
881 ÷ 143 = 6 R3
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FAQs on Factors of 881
1.What are the factors of 881?
2.Mention the prime factors of 881.
3.Is 881 a multiple of 4?
4.Mention the factor pairs of 881?
5.What is the square of 881?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 881?
7.What are some fun ways kids in Bahrain can practice Factors of 881 with numbers?
8.What role do numbers and Factors of 881 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 881 skills?
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Important Glossaries for Factor of 881
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 881 are 1, 7, 11, 13, 77, 91, 143, and 881.
- Prime factors: The factors which are prime numbers. For example, 7, 11, and 13 are prime factors of 881.
- 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 881 are (1, 881), (7, 11, 13).
- Prime factorization: The expression of a number as the product of its prime factors. The prime factorization of 881 is 7 × 11 × 13.
- Multiplication Method: A method to find factors by identifying pairings of numbers that multiply to the original number. For example, for 881, these pairings include (1, 881), (7, 11, 13).
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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.
