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

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

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
 

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 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 visually represents the breaking down of a number into its prime factors

Factor tree of 39:
 

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)

• 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