Last updated on May 26th, 2025
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.
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
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 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.
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.
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: 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.
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).
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 7 teams and 881 candies. How will they divide it equally?
They will get 126 candies each with 3 candies left over.
To divide the candies equally, we need to divide the total candies by the number of teams.
881 ÷ 7 = 126 R3
A theater has 11 rows and a total of 881 seats. How many seats are in each row?
Not possible to divide equally.
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)
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.
To find the sheets per musician, divide the total sheets by the musicians.
881 ÷ 13 = 67 R10
A company has 881 files and wants to distribute them into 77 folders. How many files per folder?
Each folder will have 11 files.
Dividing the files by the total folders, we get the number of files in each folder.
881 ÷ 77 = 11
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.
Divide the total books by the number of students.
881 ÷ 143 = 6 R3
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.