Question

Write the prime factorization of the number.

39

Short answer

The prime factorization of 39 is $39\text{=}3\times 13$

Step-by-step solution

Step-1 – Given

The given number is 39.

Step-2 – To determine

We have to write the prime factorization of the given number.

Step-3 – Calculation

In order to get the prime Factors of 39, we will have to divide 39 by the smallest prime number possible. We keep repeating this process until we end up with 1.

2 does not divide 39. So we try the next smallest prime number 3. We will divide 39 by 3.

$39÷3=13$

13 is a prime number. So we divide 13 by 13.

$13÷13=1$

So, the Prime Factorization of 39 is $39\text{=}3\times 13$.