100 LearnersLast updated on May 26th, 2025
Factors of 882
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 882, how they are used in real life, and tips to learn them quickly.
What are the Factors of 882?
The numbers that divide 882 evenly are known as factors of 882.
A factor of 882 is a number that divides the number without a remainder.
The factors of 882 are 1, 2, 3, 6, 9, 18, 21, 42, 49, 98, 147, 294, 441, and 882.
Negative factors of 882: -1, -2, -3, -6, -9, -18, -21, -42, -49, -98, -147, -294, -441, and -882.
Prime factors of 882: 2, 3, and 7.
Prime factorization of 882: 2 × 32 × 72.
The sum of factors of 882: 1 + 2 + 3 + 6 + 9 + 18 + 21 + 42 + 49 + 98 + 147 + 294 + 441 + 882 = 2013
How to Find Factors of 882?
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 882. Identifying the numbers that are multiplied to get the number 882 is the multiplication method.
Step 1: Multiply 882 by 1, 882 × 1 = 882.
Step 2: Check for other numbers that give 882 after multiplying
2 × 441 = 882
3 × 294 = 882
6 × 147 = 882
7 × 126 = 882
9 × 98 = 882
14 × 63 = 882
18 × 49 = 882
21 × 42 = 882
Therefore, the positive factor pairs of 882 are: (1, 882), (2, 441), (3, 294), (6, 147), (7, 126), (9, 98), (14, 63), (18, 49), and (21, 42).
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 that result as whole numbers as factors. Factors can be calculated by following a simple division method :
Step 1: Divide 882 by 1, 882 ÷ 1 = 882.
Step 2: Continue dividing 882 by the numbers until the remainder becomes 0.
882 ÷ 1 = 882
882 ÷ 2 = 441
882 ÷ 3 = 294
882 ÷ 6 = 147
882 ÷ 7 = 126
882 ÷ 9 = 98
882 ÷ 14 = 63
882 ÷ 18 = 49
882 ÷ 21 = 42
Therefore, the factors of 882 are: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, and 882.
Prime Factors and Prime Factorization
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using a factor tree
Using Prime Factorization: In this process, prime factors of 882 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
882 ÷ 2 = 441
441 ÷ 3 = 147
147 ÷ 3 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
The prime factors of 882 are 2, 3, and 7.
The prime factorization of 882 is: 2 × 32 × 72.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 882 is divided by 2 to get 441.
Step 2: Now divide 441 by 3 to get 147.
Step 3: Divide 147 by 3 to get 49.
Step 4: Divide 49 by 7 to get 7.
Here, 7 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 882 is: 2 × 32 × 72.
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 882: (1, 882), (2, 441), (3, 294), (6, 147), (7, 126), (9, 98), (14, 63), (18, 49), and (21, 42).
Negative factor pairs of 882: (-1, -882), (-2, -441), (-3, -294), (-6, -147), (-7, -126), (-9, -98), (-14, -63), (-18, -49), and (-21, -42).
Common Mistakes and How to Avoid Them in Factors of 882
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 882, 1 and 882 are also factors.
Factors of 882 Examples
Problem 1
There are 9 teams and 882 participants in a competition. How will they divide them equally?
They will have 98 participants each.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
882/9 = 98
Problem 2
A field is rectangular, the length of the field is 21 meters and the total area is 882 square meters. Find the width?
42 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
882 = 21 × width
To find the value of width, we need to shift 21 to the left side.
882/21 = width
Width = 42.
Problem 3
There are 18 bags and 882 marbles. How many marbles will be in each bag?
Each bag will have 49 marbles.
Explanation
To find the marbles in each bag, divide the total marbles by the bags.
882/18 = 49
Problem 4
In a class, there are 882 students, and 7 groups. How many students are there in each group?
There are 126 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
882/7 = 126
Problem 5
882 books need to be arranged in 6 shelves. How many books will go on each shelf?
Each of the shelves has 147 books.
Explanation
Divide total books by shelves.
882/6 = 147
FAQs on Factors of 882
1.What are the factors of 882?
2.Mention the prime factors of 882.
3.Is 882 a multiple of 14?
4.Mention the factor pairs of 882?
5.What is the square of 882?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 882?
7.What are some fun ways kids in Vietnam can practice Factors of 882 with numbers?
8.What role do numbers and Factors of 882 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 882 skills?
Important Glossaries for Factor of 882
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, and 882.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 7 are prime factors of 882.
- 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 882 are (1, 882), (2, 441), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 882 is 2 × 32 × 72.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, using this method for 882 gives pairs like (1, 882), (2, 441), etc.
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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.
