100 LearnersLast updated on May 26th, 2025
Factors of 888
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 888, how they are used in real life, and tips to learn them quickly.
What are the Factors of 888?
The numbers that divide 888 evenly are known as factors of 888.
A factor of 888 is a number that divides the number without remainder.
The factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, and 888.
Negative factors of 888: -1, -2, -3, -4, -6, -8, -12, -24, -37, -74, -111, -148, -222, -296, -444, and -888.
Prime factors of 888: 2, 3, and 37.
Prime factorization of 888: 23 × 3 × 37.
The sum of factors of 888: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 24 + 37 + 74 + 111 + 148 + 222 + 296 + 444 + 888 = 2280
How to Find Factors of 888?
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 888. Identifying the numbers which are multiplied to get the number 888 is the multiplication method.
Step 1: Multiply 888 by 1, 888 × 1 = 888.
Step 2: Check for other numbers that give 888 after multiplying
2 × 444 = 888
3 × 296 = 888
4 × 222 = 888
6 × 148 = 888
8 × 111 = 888
12 × 74 = 888
24 × 37 = 888
Therefore, the positive factor pairs of 888 are: (1, 888), (2, 444), (3, 296), (4, 222), (6, 148), (8, 111), (12, 74), (24, 37).
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 which result as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 888 by 1, 888 ÷ 1 = 888.
Step 2: Continue dividing 888 by the numbers until the remainder becomes 0.
888 ÷ 1 = 888
888 ÷ 2 = 444
888 ÷ 3 = 296
888 ÷ 4 = 222
888 ÷ 6 = 148
888 ÷ 8 = 111
888 ÷ 12 = 74
888 ÷ 24 = 37
Therefore, the factors of 888 are: 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a 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 888 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
888 ÷ 2 = 444
444 ÷ 2 = 222
222 ÷ 2 = 111
111 ÷ 3 = 37
37 ÷ 37 = 1
The prime factors of 888 are 2, 3, and 37.
The prime factorization of 888 is: 23 × 3 × 37.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 888 is divided by 2 to get 444.
Step 2: Now divide 444 by 2 to get 222.
Step 3: Then divide 222 by 2 to get 111.
Step 4: Divide 111 by 3 to get 37.
Here, 37 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 888 is: 23 × 3 × 37.
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 888: (1, 888), (2, 444), (3, 296), (4, 222), (6, 148), (8, 111), (12, 74), (24, 37).
Negative factor pairs of 888: (-1, -888), (-2, -444), (-3, -296), (-4, -222), (-6, -148), (-8, -111), (-12, -74), (-24, -37).
Common Mistakes and How to Avoid Them in Factors of 888
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 888, 1 and 888 is also a factor.
Factors of 888 Examples
Problem 1
There are 12 teams and 888 apples. How will they divide it equally?
They will get 74 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of teams.
888/12 = 74
Problem 2
A garden is rectangular, the length of the garden is 37 meters and the total area is 888 square meters. Find the width?
24 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
888 = 37 × width
To find the value of width, we need to shift 37 to the left side.
888/37 = width
Width = 24.
Problem 3
There are 24 baskets and 888 oranges. How many oranges will be in each basket?
Each basket will have 37 oranges.
Explanation
To find the oranges in each basket, divide the total oranges with the baskets.
888/24 = 37
Problem 4
In a workshop, there are 888 participants, and 148 tables. How many participants are there at each table?
There are 6 participants at each table.
Explanation
Dividing the participants with the total tables, we will get the number of participants at each table.
888/148 = 6
Problem 5
888 chairs need to be arranged in 6 rows. How many chairs will go in each row?
Each of the rows has 148 chairs.
Explanation
Divide total chairs with rows.
888/6 = 148
FAQs on Factors of 888
1.What are the factors of 888?
2.Mention the prime factors of 888.
3.Is 888 a multiple of 6?
4.Mention the factor pairs of 888?
5.What is the square of 888?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 888?
7.What are some fun ways kids in Vietnam can practice Factors of 888 with numbers?
8.What role do numbers and Factors of 888 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 888 skills?
Important Glossaries for Factor of 888
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, and 888.
- Prime Factors: The factors which are prime numbers. For example, 2, 3, and 37 are prime factors of 888.
- 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 888 are (1, 888), (2, 444), etc.
- Prime Factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 888 is 23 × 3 × 37.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 888 is a multiple of 6.
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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.
