Factors of 39

The Factors of 39 are the numbers which get multiplied and produce the result as 39. For example, multiplying 2 and 7, we get 14, i.e. 2 × 7 = 14 such that 2 and 7 are the factors of 14. In the same way, we can find the factors of the number 39. In this article, you will know the factors of 39, how to find the factors of a number 39 and prime factors of 39 with detailed steps.

What are the Factors of 39?

The number 39 is a composite number and hence it has more than two factors, that means it has factors other than 1 and 39.

Also, we know that the factors of 39 are the exact divisors of that number. However, we can find the factors for any given number in two ways, namely division method and factor pair method.

How to Find the Factors of 39?

The below steps help in understanding the process of calculating the factors of 39.

Step 1: First, write the number 39 in your notebook.

Step 2: Find the two numbers, which on multiplication gives 39, suppose 3 and 13, such as 3 × 13 = 39.

Step 3: We know that 3 is a prime number which has only two factors, i.e. 1 and the number itself. So, we cannot factorize it further.

3 = 1 × 3

Step 4: Also, 13 is a prime number and cannot be factored further.

13 = 1 × 13

Step 5: Therefore, the factorization of 39 gives us 1 × 3 × 13.

The unique numbers which are obtained from the above computation are: 1, 3, 13, and 39

Factor pairs of 39

The factors of any number can be both positive and negative. To find the pair factors of 39, multiply the 2 numbers in a pair to have the original number as 39. Such numbers 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 for 39.

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

Now, let’s find the negative pair factors of 39:

(-1) × (-39) = 39

(-3) × (-13) = 39

(-13) × (-3) = 39

(-39) × (-1) = 39

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

How to calculate Prime Factors of 39?

By prime factorization method, we can write the prime factors of 39 as given below.

The first step is to divide the number 39 with the smallest prime number, i.e. 2.

39 ÷ 2 = 19.5

As we know, the factors cannot be a fraction, therefore, 2 is not the prime factor for 39.

Now, proceed to the next prime numbers, i.e. 3, 5, 7 and so on.

39 ÷ 3 = 13, 3 and 13 are prime numbers, so we cannot proceed with the division method.

Thus, the prime factorisation of 39 can be expressed as 3 × 13.

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