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808 LearnersLast updated on December 11, 2025
Factors of 38
How to find the factors of 38?
Factors of any number can be found through any of the given methods:
- Multiplication method
- Division method
- Prime factors and prime factorization
- Factor tree method
- Factor pairs
Multiplication method
This method involves recognizing a pair of numbers that multiply to give the product 38.
- To identifying the pairs of 38
- As 38 is a composite number, its factors are (1, 38) and (2,19).
Write the numbers as the factors of 38.
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Division method
In this method, we divide 38 by integers to see if they are divided evenly into 38.
- 38 is divided by 1. 38 =38.
- Keep checking for the next integers(e.g., 38÷2=19, which is a whole number.)
38 is divisible by only by 1,2,19,38.
Prime factors and prime factorization method
Prime factors of 38: 38 is a composite number, means that it is only divisible by more than 2 numbers.
Prime factorization of 38: Prime factorization parts, a number into smaller factors, because 38 is further divided into
2×19=38.
Factor tree
Factor tree is a representation of prime numbers which is used in the breaking down of numbers.
For 38, the tree branches into 2 and 19 shows the prime factors.
Positive and negative pairs
Both positive and negative numbers can be written as factors.
The pairs are the products and will be equal to the original number.
Positive factor pairs: (1,38), (2,19)
Negative factor pairs: (-1,-38), (-2,-19)
Common mistakes and how to avoid them in factors of 38
some common mistakes with their solutions are given
Mistake 1
Thinking that 38 has more factors
As 38 is a composite number, it has four factors, (1,38), (2,19) . Students think that 38 has more factors than 4. Students should learn about the factors in detail.
Mistake 2
Misconception that 38 is a prime number.
The numbers which has factors more than 2 are known as composite number. Since 38 has divisors more than two numbers, it is a composite number. Students confuse it as a prime number. Students should learn about the factors in detail.
Mistake 3
Forgetting to include 1
Students forget to include 1, they forget that 1 is a whole number including the 38. Students should practice about the factors very frequently.
factors of 38 Examples
Problem 1
What is the factor pair of 38?
Factor a pair of 38 are (1,38), (2,19).
Explanation
Problem 2
Is 38 a factor of 76?
Yes, 38 is a factor of 76, 76÷38=2.
Explanation
FAQs on the factors of 38
1.Is 200 a perfect square?
2.Is 38 is a multiple of 4?
3.How many factors does 192 have?
Important Glossary for LCM of 38
- Divisor: Number that divides another number
- Quotient: It is the number that gets as a result of division
- Factors: Numbers that divide the given number completely without any remainder.
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Samia
About the Author
Samia 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.
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