117 LearnersLast updated on May 29th, 2025
Factors of 884
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 884, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 884?
The numbers that divide 884 evenly are known as factors of 884.
A factor of 884 is a number that divides the number without remainder.
The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 169, 221, 338, 442, and 884.
Negative factors of 884: -1, -2, -4, -13, -17, -26, -34, -52, -68, -169, -221, -338, -442, and -884.
Prime factors of 884: 2, 13, and 17.
Prime factorization of 884: 2 × 2 × 13 × 17.
The sum of factors of 884: 1 + 2 + 4 + 13 + 17 + 26 + 34 + 52 + 68 + 169 + 221 + 338 + 442 + 884 = 2271
How to Find Factors of 884?
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 884. Identifying the numbers which are multiplied to get the number 884 is the multiplication method.
Step 1: Multiply 884 by 1, 884 × 1 = 884.
Step 2: Check for other numbers that give 884 after multiplying
2 × 442 = 884
4 × 221 = 884
13 × 68 = 884
17 × 52 = 884
Therefore, the positive factor pairs of 884 are: (1, 884), (2, 442), (4, 221), (13, 68), (17, 52).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with whole numbers until the remainder becomes zero and listing out the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 884 by 1, 884 ÷ 1 = 884.
Step 2: Continue dividing 884 by the numbers until the remainder becomes 0.
884 ÷ 1 = 884
884 ÷ 2 = 442
884 ÷ 4 = 221
884 ÷ 13 = 68
884 ÷ 17 = 52
Therefore, the factors of 884 are: 1, 2, 4, 13, 17, 26, 34, 52, 68, 169, 221, 338, 442, 884.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 884 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
884 ÷ 2 = 442
442 ÷ 2 = 221
221 ÷ 13 = 17
17 ÷ 17 = 1
The prime factors of 884 are 2, 13, and 17.
The prime factorization of 884 is: 2 × 2 × 13 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, 884 is divided by 2 to get 442.
Step 2: Now divide 442 by 2 to get 221.
Step 3: Then divide 221 by 13 to get 17.
Step 4: Here, 17 is a prime number and cannot be divided anymore.
So, the prime factorization of 884 is: 2 × 2 × 13 × 17.
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 884: (1, 884), (2, 442), (4, 221), (13, 68), and (17, 52).
Negative factor pairs of 884: (-1, -884), (-2, -442), (-4, -221), (-13, -68), and (-17, -52).
Common Mistakes and How to Avoid Them in Factors of 884
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 884, 1 and 884 are also factors.
Factors of 884 Examples
Problem 1
There are 13 trucks and 884 boxes. How will they distribute the boxes equally among the trucks?
Each truck will get 68 boxes.
Explanation
To divide the boxes equally, we need to divide the total boxes by the number of trucks.
884 ÷ 13 = 68
Problem 2
A garden is rectangular, the length of the garden is 26 meters and the total area is 884 square meters. Find the width.
34 meters.
Explanation
To find the width of the garden, we use the formula:
Area = length × width
884 = 26 × width
To find the value of width, we need to shift 26 to the left side.
884 ÷ 26 = width
Width = 34.
Problem 3
There are 2 large boxes; each contains 884 marbles. How many marbles are there in total?
There are 1768 marbles in total.
Explanation
To find the total number of marbles, multiply the number of boxes by the marbles in each box.
2 × 884 = 1768
Problem 4
A store has 884 items that need to be packed in boxes containing 4 items each. How many boxes are needed?
221 boxes are needed.
Explanation
Dividing the total items by the number of items per box gives the number of boxes needed.
884 ÷ 4 = 221
Problem 5
884 pages need to be bound into books with 17 pages each. How many books will be made?
52 books will be made.
Explanation
Divide the total pages by the number of pages per book.
884 ÷ 17 = 52
FAQs on Factors of 884
1.What are the factors of 884?
2.Mention the prime factors of 884.
3.Is 884 a multiple of 4?
4.Mention the factor pairs of 884?
5.What is the square of 884?
6.How can children in United States use numbers in everyday life to understand Factors of 884?
7.What are some fun ways kids in United States can practice Factors of 884 with numbers?
8.What role do numbers and Factors of 884 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 884 skills?
Important Glossaries for Factors of 884
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 884 are 1, 2, 4, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 13, and 17 are prime factors of 884.
- 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 884 are (1, 884), (2, 442), etc.
- Prime Factorization: The process of expressing a number as a product of its prime factors. For 884, it's 2 × 2 × 13 × 17.
- Multiplication Method: A method for finding factors by identifying pairs of numbers whose product is the given number. For 884, pairs include (1, 884), (2, 442), etc.
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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.
