Factors of 39 – With Division and Prime Factorization

Factors of 39

Factors Of 39

Factors of 39 are the numbers multiplied together to form the result of 39. The fact that 2 and 7 are factors of 14 can be seen by multiplying 2 and 7. For example, 2 ×  7= 14 as 2 and 7 are factors of 14. Similarly, we can find the factors of 39. 

With this article, you will learn how to find factors of a number 39, as well as prime factors of 39 with detailed steps.

What are the Factors of 39?

As a composite number, 39 has more than two factors, leaving it with factors other than 1 and 39.

Factors of 39

1, 3, 13, and 39

Additionally, we know that 39 is divisible by the factors listed above. The factors of a number can, however, be found in two ways, namely the division method and the factor pair method.

factors of 39

What are the Factors of -39?

-39 has both additive inverse and negative factors, that is, negative numbers. A positive number is produced by dividing -39 by any negative number.

  • (-39) ÷ (-1)     = 39
  • (-39) ÷ (-3)     =13
  • (-39) ÷ (-13)   = 3
  • (-39) ÷ (-39)   = 1

Hence, factors of -39 include -1, -3, -13, and -39.

How to Find the Factors of 39?

The following steps explain how to calculate the factors of 39.

Write the number 39 in your notebook first.

Think of 3 and 13 as two numbers that, when multiplied, give 39, for example, 3 x 13 = 39.

The prime number 3 only has two factors, which are 1 and the number itself. Therefore, it cannot be factorized further.

3 = 1 × 3

 Furthermore, 13 is a prime number and cannot be further factored.

13 = 1 × 13

As a result, 39 is factorized into 1 × 3 × 13.

Based on the above computation, there are 3 unique numbers: 1, 3, and 39.

Factor pairs of 39

Every number has positive as well as negative factors. You can find the pair factors of 39 by multiplying the two numbers in a pair. They are as follows:

1 × 39 = 39;      (1, 39)

3 × 13 = 39;      (3, 13)

13 × 3 = 39;      (13, 3)

39 × 1 = 39;      (39, 1)

These are the positive pair factors of 39.

Thus, the factors of 39 are 1, 3, 13, and 39.

Next, let’s calculate 39’s negative pair factor:

(-1) × (-39)    = 39

(-3) × (-13)    = 39

(-13) × (-3)    = 39

(-39) × (-1)    = 39

As a result, the negative pair factors of 39 are (-1, -39), (-3, -13), (-13, 3) and (-39, -1).

factors of 39 in pairs

How to calculate Prime Factors of 39?

Here are the prime factors of 39 according to the prime factorization method.

We begin by dividing 39 by the smallest prime number, 2.

39 ÷ 2 = 19.5

Since fractions cannot be factors, hence 2 is not a prime factor for 39.

Continue with the next prime number, i.e. 3, 5, 7, etc.

39 ÷ 3 = 13, 

As 3, and 13 are prime numbers, we cannot divide them.

As a result, the prime factorization of 39 is 3 × 13.

factors of 39 by prime factorization

FAQs

39 and 25 have what factors?

1, 3, 13, and 39 are the factors of 39.

Factors of 25 = 1, 5, 25.

What is the greatest factor in 39?

1, 3, 13, and 39 are the factors of 39. Therefore, 39 is the greatest factor of 39. 

The prime factor of 39 is?

39 has two prime factors, namely 3 and 39.

How many factors are there in 36?

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Among the factors of 36 and 48, what is common?

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36

1, 2, 3, 4, 6, 8, 12, 16, 24, and 48 are the factors of 48.

1, 2, 3, 4, 6, and 12 are the common factors of 36 and 48.

We hope that with the above illustration you are now in a better position to understand the factors of 35.

Keep learning with ecti.

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