122 LearnersLast updated on May 26th, 2025
Factors of 3888
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 3888, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 3888?
The numbers that divide 3888 evenly are known as factors of 3888.
A factor of 3888 is a number that divides the number without remainder.
The factors of 3888 include numbers like 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 243, 324, 486, 648, 972, 1296, 1944, and 3888.
Negative factors of 3888: -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -27, -32, -36, -48, -54, -72, -81, -96, -108, -144, -162, -216, -243, -324, -486, -648, -972, -1296, -1944, and -3888.
Prime factors of 3888: 2 and 3.
Prime factorization of 3888: 25 × 35.
The sum of factors of 3888: 1 + 2 + 3 + ... + 3888.
How to Find Factors of 3888?
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 3888. Identifying the numbers which are multiplied to get the number 3888 is the multiplication method.
Step 1: Multiply 3888 by 1, 3888 × 1 = 3888.
Step 2: Check for other numbers that give 3888 after multiplying.
For example: 2 × 1944 = 3888
3 × 1296 = 3888
4 × 972 = 3888
6 × 648 = 3888
Therefore, the positive factor pairs of 3888 include: (1, 3888), (2, 1944), (3, 1296), (4, 972), (6, 648), among others. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the 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 3888 by 1, 3888 ÷ 1 = 3888.
Step 2: Continue dividing 3888 by the numbers until the remainder becomes 0.
3888 ÷ 1 = 3888
3888 ÷ 2 = 1944
3888 ÷ 3 = 1296
3888 ÷ 4 = 972
3888 ÷ 6 = 648
Therefore, the factors of 3888 include numbers like 1, 2, 3, 4, 6, and many others.
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 factor tree
Using Prime Factorization: In this process, prime factors of 3888 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
3888 ÷ 2 = 1944
1944 ÷ 2 = 972
972 ÷ 2 = 486
486 ÷ 2 = 243
243 ÷ 3 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
The prime factors of 3888 are 2 and 3.
The prime factorization of 3888 is: 2^5 × 3^5.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, 3888 is divided by 2 to get 1944.
Step 2: Now divide 1944 by 2 to get 972.
Step 3: Then divide 972 by 2 to get 486.
Step 4: Divide 486 by 2 to get 243.
Step 5: Divide 243 by 3 to get 81.
Step 6: Continue dividing by 3 until you reach 1. So, the prime factorization of 3888 is: 25 × 35.
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 3888: (1, 3888), (2, 1944), (3, 1296), (4, 972), (6, 648), among others.
Negative factor pairs of 3888: (-1, -3888), (-2, -1944), (-3, -1296), (-4, -972), (-6, -648), among others.
Common Mistakes and How to Avoid Them in Factors of 3888
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 word. Always remember to include 1 and the number itself.
For example, in factors of 3888, 1 and 3888 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 3888 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor because 3888 ÷ 1.5 = 2592, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole number, not only just primes.
For example, thinking all the factors of 3888 are prime numbers.
For example, 2 and 3 are the prime factors of 3888, but it has other factors like 4, 9.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 3888 as 25 × 35 and missing all the key factors.
Factors of 3888 Examples
Problem 1
There are 18 teams and 3888 points. How will they distribute the points equally?
They will get 216 points each.
Explanation
To divide the points equally, we need to divide the total points by the number of teams. 3888 ÷ 18 = 216
Problem 2
A garden is square-shaped with a total area of 3888 square meters. Find the length of each side of the garden.
62.36 meters.
Explanation
To find the length of each side of the garden, we use the formula, Area = side × side 3888 = side² To find the value of side, we find the square root of 3888. √3888 ≈ 62.36
Problem 3
A company has 81 employees and 3888 tasks. How many tasks will each employee complete?
Each employee will complete 48 tasks.
Explanation
To find the tasks each employee will complete, divide the total tasks by the number of employees. 3888 ÷ 81 = 48
Problem 4
A concert has 3888 seats, and there are 54 sections. How many seats are there in each section?
There are 72 seats in each section.
Explanation
Dividing the total seats by the number of sections, we will get the number of seats in each section. 3888 ÷ 54 = 72
Problem 5
3888 books need to be organized in 108 shelves. How many books will go on each shelf?
Each of the shelves has 36 books.
Explanation
Divide the total books by the number of shelves. 3888 ÷ 108 = 36
FAQs on Factors of 3888
1.What are the factors of 3888?
2.Mention the prime factors of 3888.
3.Is 3888 a multiple of 12?
4.Mention the factor pairs of 3888?
5.What is the square root of 3888?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 3888?
7.What are some fun ways kids in United Kingdom can practice Factors of 3888 with numbers?
8.What role do numbers and Factors of 3888 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 3888 skills?
Important Glossaries for Factor of 3888
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 3888 include 1, 2, 3, 4, 6, and many others.
- Prime factors: The factors which are prime numbers. For example, 2 and 3 are prime factors of 3888.
- 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 3888 include (1, 3888), (2, 1944), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 3888 is 25 × 35.
- Negative factors: Factors that are negative counterparts of the positive factors. For example, -1, -2, -3, etc., are negative factors of 3888.
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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.
