115 LearnersLast updated on May 26th, 2025
Factors of 38220
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 38220, how they are used in real life, and tips to learn them quickly.
What are the Factors of 38220?
The numbers that divide 38220 evenly are known as factors of 38220.
A factor of 38220 is a number that divides the number without remainder.
The factors of 38220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 39, 57, 60, 76, 95, 114, 1146, 191, 190, 228, 286, 380, 573, 765, 1146, 1910, 2292, 2865, 3822, 5730, 11460, 19110, and 38220.
Negative factors of 38220 include: -1, -2, -3, -4, -5, -6, -10, -12, -15, -19, -20, -30, -38, -39, -57, -60, -76, -95, -114, -1146, -191, -190, -228, -286, -380, -573, -765, -1146, -1910, -2292, -2865, -3822, -5730, -11460, -19110, and -38220.
Prime factors of 38220: 2, 3, 5, and 191.
Prime factorization of 38220: 22 × 3 × 5 × 191.
The sum of factors of 38220 is 100098.
How to Find Factors of 38220?
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 38220. Identifying the numbers which are multiplied to get the number 38220 is the multiplication method.
Step 1: Multiply 38220 by 1, 38220 × 1 = 38220.
Step 2: Check for other numbers that give 38220 after multiplying:
2 × 19110 = 38220
3 × 12740 = 38220
4 × 9555 = 38220
5 × 7644 = 38220 ...
Therefore, the positive factor pairs of 38220 include: (1, 38220), (2, 19110), (3, 12740), (4, 9555), (5, 7644), and so on. 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 results as whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 38220 by 1, 38220 ÷ 1 = 38220.
Step 2: Continue dividing 38220 by the numbers until the remainder becomes 0.
38220 ÷ 1 = 38220
38220 ÷ 2 = 19110
38220 ÷ 3 = 12740
38220 ÷ 4 = 9555
38220 ÷ 5 = 7644 ...
Therefore, the factors of 38220 include: 1, 2, 3, 4, 5, 6, 10, 12, 15, and so on.
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 38220 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
38220 ÷ 2 = 19110
19110 ÷ 2 = 9555
9555 ÷ 3 = 3185
3185 ÷ 5 = 637
637 ÷ 191 = 1
The prime factors of 38220 are 2, 3, 5, and 191.
The prime factorization of 38220 is: 2^2 × 3 × 5 × 191.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 38220 is divided by 2 to get 19110.
Step 2: Now divide 19110 by 2 to get 9555.
Step 3: Then divide 9555 by 3 to get 3185.
Step 4: Divide 3185 by 5 to get 637. Here, 637 is divided by 191, which is a prime number. So, the prime factorization of 38220 is: 22 × 3 × 5 × 191.
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 38220 include: (1, 38220), (2, 19110), (3, 12740), and so on.
Negative factor pairs of 38220 include: (-1, -38220), (-2, -19110), (-3, -12740), and so on.
Common Mistakes and How to Avoid Them in Factors of 38220
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 38220, 1 and 38220 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 38220 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 38220/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 38220 are prime numbers. For example, 2, 3, 5, and 191 are the prime factors of 38220, but it has other factors like 4, 10.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 38220 as 22 × 3 × 5 × 191 and missing key factors.
Factors of 38220 Examples
Problem 1
A company has 38220 units of a product and wants to distribute it equally among 5 regional offices. How many units will each office receive?
Each office will receive 7644 units.
Explanation
To divide the units equally, we need to divide the total units by the number of offices.
38220 ÷ 5 = 7644
Problem 2
A rectangular area has a length of 573 meters and a total area of 38220 square meters. Find the width.
66.7 meters.
Explanation
To find the width of the area, we use the formula:
Area = length × width
38220 = 573 × width
To find the value of the width, we need to divide the total area by the length.
38220 ÷ 573 = 66.7
Problem 3
There are 10 trucks, and each needs to carry an equal number of 38220 boxes. How many boxes will each truck carry?
Each truck will carry 3822 boxes.
Explanation
To find the number of boxes each truck will carry, divide the total boxes by the number of trucks.
38220 ÷ 10 = 3822
Problem 4
A class has 38220 pens, divided equally among 191 students. How many pens will each student receive?
Each student will receive 200 pens.
Explanation
Dividing the pens among the students, we will get the number of pens per student.
38220 ÷ 191 = 200
Problem 5
38220 books need to be arranged in 6 shelves. How many books will go on each shelf?
Each shelf will have 6370 books.
Explanation
Divide total books by the number of shelves.
38220 ÷ 6 = 6370
FAQs on Factors of 38220
1.What are the factors of 38220?
2.Mention the prime factors of 38220.
3.Is 38220 a multiple of 19?
4.Mention the factor pairs of 38220?
5.What is the square of 38220?
6.How can children in United States use numbers in everyday life to understand Factors of 38220?
7.What are some fun ways kids in United States can practice Factors of 38220 with numbers?
8.What role do numbers and Factors of 38220 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 38220 skills?
Important Glossaries for Factor of 38220
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 38220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 5, and 191 are prime factors of 38220.
- 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 38220 are (1, 38220), (2, 19110), etc.
- Prime factorization: A way of expressing a number as a product of its prime factors. For example, 38220 = 22 × 3 × 5 × 191.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 38220 is a multiple of 19.
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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.
