262 LearnersLast updated on May 26th, 2025
Factors of 39
Numbers that divide 39 completely are the factors. Factors are used to simplify fractions.
What are the Factors of 39
The factors of 39 are 1, 3, 13 and 39
Negative factors of 39
There’s always a corresponding negative factor for each positive factor of 39
Negative factors of 39: -1, -3, -13, -39
Prime factors of 39
These are the prime numbers themselves, having 1 and the number itself as factors
Prime factors of 39: 3, 13
Prime Factorization of 39
Prime factorization is used to express the prime factors in its exponential form
39 is prime factorized as 31 × 131
An overview of factors of 39
How to find the Factors of 39
You can use various methods to find the factors. Given below are the methods that can be used to find the factors of 39:
- Multiplication Method
- Division Method
- Prime Factor and Prime Factorization
- Factor Tree
Finding Factors Using Multiplication Method
In the multiplication method, we find the pairs of numbers where the product will be 39.
Step 1: Find all the numbers whose product is 39
Step 2: These numbers identify as factors of 39
Step 3: Group the numbers as pairs and make a list
List of numbers whose product is 39:
1×39 = 39
3×13 = 39
Finding Factors Using the Division Method
The division method identifies the divisor and the quotient. These are the factors of 39.
Step-by-step process
Step 1: Always start the division process with the smallest number. Here, 1 is the smallest factor of any number. So, begin your division by 1. Example: 39÷1 = 39.
Step 2: Move to the next integer and continue this process until you can’t divide 39 anymore.
Overview of Factors of 39 using the division method
Prime Factors and Prime Factorization
Prime factorization is the process where the product of prime factors gets expressed in exponential form.
Prime Factors of 39
There are two prime factors of 39
Prime factors of 39: 1, 13
To find the factors of 39:
Step 1: Start the division by 3
39÷3 = 13
Step 2: Now divide the rest of the numbers by13
13÷13 = 1
For the prime factorization method, the product of prime factors of 39 is expressed as 31 × 131
Factor Tree
Factor tree visually represents the breaking down of a number into its prime factors
Factor tree of 39:
Factor Pairs
Factor pairs of 39 are a team of 2 factors grouped together. Their product will be equal to the number, that is 39.
- Positive Factor Pairs: (1,39), (3,13)
- Negative Factor Pairs: (-1,-39), (-3,-13)
Common Mistakes and How to Avoid Them in Factors of 39
Mistakes can take place when we find the factors of 39. Given below are the few mistakes made and solutions to tackle them:
Mistake 1
Writing 39 as a prime number
Since there are not many factors of 39 kids can think that 39 is a prime number, having 1 and 39 as the only factors. The number 39 is also a product of 3 and 13 multiplied together, not just a product of 1 and 39. Since there are 4 factors of 39, it is not a prime number.
Solved Examples
Problem 1
What will be the product of the largest prime factor and greatest factor of 39?
The product is 507
Explanation
The largest prime factor is 13 and the greatest factor is 39. When 13 and 39 are multiplied, we get 507 as the product (13×39)
Problem 2
Verify whether 9 is a factor of 39
No, 9 is not a factor of 39
Explanation
To verify, divide 39 by 9, the quotient is 4.3. Since factors can never be decimal, 9 is not a factor of 39.
Problem 3
GCF of 39 and 63
The GCF of 39 and 63 are
Explanation
Greatest Common Factor is the common factor of two or more numbers and higher in value. To find the GCF,
find the factors of 39 and 63 is 3
The factors of 39: 1, 3, 13, 39
The factors of 63: 1, 3, 7, 9, 21, 63
The GCF of 39 and 63 is 3
FAQs on Factors of 39
1.What is the greatest factor of 39?
2.What numbers are known as the non-factors of 39
3.Check if 39 is a prime number.
4.Define multiples of 39 and write the first few multiples of 39.
5.Define factors and write the factors of 39
6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 39?
7.What are some fun ways kids in Saudi Arabia can practice Factors of 39 with numbers?
8.What role do numbers and Factors of 39 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Factors of 39 skills?
Important Glossaries for Factors of 39
- Quotient: It is the number that gets as a result of division
- Factors: Numbers that divide the given number completely without any remainder.
- Prime Factors: Prime numbers that multiply together to form the given number.
- Prime Factorization: Process of breaking down the number into prime factors
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