104 LearnersLast updated on May 26th, 2025
Factors of -39
Factors are the numbers that divide any given number evenly without a 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 -39, how they are used in real life, and tips to learn them quickly.
What are the Factors of -39?
The numbers that divide -39 evenly are known as factors of -39.
A factor of -39 is a number that divides the number without a remainder.
The factors of -39 are 1, -1, 3, -3, 13, -13, 39, and -39.
Prime factors of -39: 3 and 13.
Prime factorization of -39: -1 × 3 × 13.
The sum of positive factors of 39: 1 + 3 + 13 + 39 = 56
How to Find Factors of -39?
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 -39. Identifying the numbers which are multiplied to get the number -39 is the multiplication method.
Step 1: Multiply -39 by 1, -39 × 1 = -39.
Step 2: Check for other numbers that give -39 after multiplying:
-1 × 39 = -39
3 × -13 = -39
-3 × 13 = -39
Therefore, the factor pairs of -39 are: (1, -39), (-1, 39), (3, -13), and (-3, 13).
Finding Factors Using Division Method
Dividing the given numbers by 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 -39 by 1,
-39 ÷ 1 = -39.
Step 2: Continue dividing -39 by the numbers until the remainder becomes 0.
-39 ÷ 1 = -39
-39 ÷ 3 = -13
-39 ÷ 13 = -3
-39 ÷ 39 = -1
Therefore, the factors of -39 are: 1, -1, 3, -3, 13, -13, 39, and -39.
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
- Using factor tree
Using Prime Factorization: In this process, prime factors of -39 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
-39 ÷ -1 = 39
39 ÷ 3 = 13
13 ÷ 13 = 1
The prime factors of -39 are 3 and 13.
The prime factorization of -39 is: -1 × 3 × 13.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, -39 is divided by -1 to get 39.
Step 2: Now divide 39 by 3 to get 13. Here, 13 is a prime number, that cannot be divided anymore.
So, the prime factorization of -39 is: -1 × 3 × 13.
Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.
Factor pairs of -39: (1, -39), (-1, 39), (3, -13), and (-3, 13).
Common Mistakes and How to Avoid Them in Factors of -39
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of -39, 1 and -39 are also factors.
Factors of -39 Examples
Problem 1
There are 39 apples and 3 baskets. How will they be divided equally among the baskets?
Each basket will get 13 apples.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
39/3 = 13
Problem 2
A wall is 39 meters long and has 3 equal sections. How long is each section?
Each section is 13 meters long.
Explanation
To find the length of each section, divide the total length by the number of sections.
39/3 = 13
Problem 3
There are 13 teams and 39 players. How many players are in each team?
Each team will have 3 players.
Explanation
To find the players in each team, divide the total players by the number of teams.
39/13 = 3
Problem 4
A ribbon 39 meters long is cut into 3 equal pieces. How long is each piece?
Each piece is 13 meters long.
Explanation
Dividing the ribbon length by the number of pieces will give the length of each piece.
39/3 = 13
Problem 5
39 books need to be arranged on 3 shelves. How many books will go on each shelf?
Each shelf will have 13 books.
Explanation
Divide total books by shelves.
39/3 = 13
FAQs on Factors of -39
1.What are the factors of -39?
2.Mention the prime factors of -39.
3.Is -39 a multiple of 3?
4.Mention the factor pairs of -39?
5.What is the absolute value of -39?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of -39?
7.What are some fun ways kids in United Arab Emirates can practice Factors of -39 with numbers?
8.What role do numbers and Factors of -39 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of -39 skills?
Important Glossaries for Factor of -39
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of -39 are 1, -1, 3, -3, 13, -13, 39, and -39.
- Prime factors: The factors which are prime numbers. For example, 3 and 13 are prime factors of -39.
- 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 -39 are (1, -39), (-1, 39), etc.
- Prime factorization: Breaking down a number into its smallest prime factors. For example, the prime factorization of -39 is -1 × 3 × 13.
- Absolute value: The distance of a number from zero on the number line, without considering which direction from zero the number lies. For example, the absolute value of -39 is 39.
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About BrightChamps in United Arab Emirates
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.
