Factors of -38
2026-02-28 17:20 Diff
https://brightchamps.com/en-us/math/numbers/factors-of-minus-38

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Last updated on December 12, 2025

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 -38, how they are used in real life, and the tips to learn them quickly.

What are the Factors of -38?

The numbers that divide -38 evenly are known as factors of -38.

A factor of -38 is a number that divides the number without remainder.

The factors of -38 are 1, 2, 19, and 38.

Negative factors of -38: -1, -2, -19, and -38.

Prime factors of 38: 2 and 19.

Prime factorization of 38: 2 × 19.

The sum of the positive factors of 38: 1 + 2 + 19 + 38 = 60

How to Find Factors of -38?

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 38. Identifying the numbers which are multiplied to get the number 38 is the multiplication method.

Step 1: Multiply 38 by 1, 38 × 1 = 38.

Step 2: Check for other numbers that give 38 after multiplying 2 × 19 = 38

Therefore, the positive factor pairs of 38 are: (1, 38), (2, 19).

For every positive factor, there is a negative factor.

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Finding Factors Using Division Method

Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method 

Step 1: Divide 38 by 1, 38 ÷ 1 = 38.

Step 2: Continue dividing 38 by the numbers until the remainder becomes 0.

38 ÷ 1 = 38

38 ÷ 2 = 19

Therefore, the factors of 38 are: 1, 2, 19, 38.

Prime Factors and Prime Factorization

The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:

Using Prime Factorization: In this process, prime factors of 38 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

38 ÷ 2 = 19

19 ÷ 19 = 1

The prime factors of 38 are 2 and 19.

The prime factorization of 38 is: 2 × 19.

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows 

Step 1: Firstly, 38 is divided by 2 to get 19.

Step 2: Now, 19 is a prime number and cannot be divided anymore. So, the prime factorization of 38 is: 2 × 19.

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 38: (1, 38), (2, 19).

Negative factor pairs of -38: (-1, -38), (-2, -19).

Common Mistakes and How to Avoid Them in Factors of -38

Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.

Problem 1

A charity has 38 boxes of food and wants to distribute them equally among 2 shelters. How many boxes will each shelter receive?

Okay, lets begin

Each shelter will receive 19 boxes.

Explanation

To divide the boxes equally, we need to divide the total boxes by the number of shelters.

38/2 = 19

Well explained 👍

Problem 2

A small garden is divided into 38 equal sections, with each section occupying 2 square meters. What is the total area of the garden?

Okay, lets begin

76 square meters.

Explanation

To find the total area, multiply the number of sections by the area of each section.

38 × 2 = 76

Well explained 👍

Problem 3

A school has 19 classes, and each class has the same number of students. If there are 38 students in total, how many students are in each class?

Okay, lets begin

Each class has 2 students.

Explanation

To find the number of students in each class, divide the total students by the number of classes.

38/19 = 2

Well explained 👍

Problem 4

38 chairs need to be arranged in 1 row for a performance. How many chairs will be in the row?

Okay, lets begin

There will be 38 chairs in the row.

Explanation

Since there is 1 row, all the chairs will be in that row.

38/1 = 38

Well explained 👍

Problem 5

A librarian wants to arrange 2 books on each shelf. If there are 19 shelves, how many books are needed?

Okay, lets begin

38 books are needed.

Explanation

To find the total number of books, multiply the number of shelves by the number of books per shelf.

19 × 2 = 38

Well explained 👍

FAQs on Factors of -38

1.What are the factors of -38?

1, 2, 19, 38 are the positive factors of 38.

2.Mention the prime factors of -38.

The prime factors of 38 are 2 × 19.

3.Is 38 a multiple of 2?

4.Mention the factor pairs of -38?

(1, 38), (2, 19) are the positive factor pairs of 38.

5.What is the square of 38?

Important Glossaries for Factors of -38

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -38 are 1, 2, 19, and 38.
  • Negative factors: The negative counterparts of the factors of a number. For example, -1, -2, -19, and -38 are negative factors of -38.
  • Prime factors: The factors which are prime numbers. For example, 2 and 19 are prime factors of 38.
  • 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 38 are (1, 38), (2, 19).
  • Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 38 is 2 × 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.