Definition of factors of 39: If a number completely divides 39 with the remainder zero, then that number is called a factor of 39.
By the above definition, we can say that the factors of 39 are the divisors of 39. In this section, we will learn about the factors of 39 and the prime factors of 39.
Also Read: Basic concepts of factors
Table of Contents
Highlights of Factors of 39
- 39=3×13 is the prime factorization of 39.
- The factors of 39 are 1, 3, 13, and 39.
- Prime factors of 39 are 3 and 13.
- Negative factors of 39 are –1, -3, -13, and –39.
What are the Factors of 39?
We first write the number 39 multiplicatively in all possible ways. Note that we have:
39 = 1×39
39 = 3×13
As we cannot express 39 multiplicatively in any other way, so we will stop right now. Thus the factors of 39 in pairs are given as follows:
| 39 = a×b | Factors in Pairs (a,b) |
| 39 = 1×39 | (1, 39) |
| 39 = 3×13 | (3, 13) |
Thus the pair factors of 39 are (1, 39) and (3, 13). As all the numbers appearing in pair factors are the factors of 39, we conclude that
|
The factors of 39 are: 1, 3, 13, and 39. |
Number of Factors of 39
From above we have calculated the factors of 39 which are 1, 3, 13, and 39. Thus the total number of factors of 39 is four.
Prime Factors of 39
Note that the factors of 39 are 1, 3, 13, and 39. Among those factors, we observe that only 3 and 13 are prime numbers as they do not have any proper divisors.
∴ the prime factors of 39 are 3 and 13.
Question: What are the factors of 39?
Video Solution: coming soon…
How to Find Factors of 39?
Now we will determine the factors of 39 by division method. In this method, we will find the numbers that can divide 39 with no remainder. See that
39/1=39 and the remainder is 0.
∴ 1 and 39 are factors of 39.
39/3=13 and the remainder is 0.
∴ 3 and 13 are factors of 39.
Note that no numbers other than the numbers in violet color can divide 39. So the numbers in violet color, that is, 1, 3, 13 and 39 are the complete list of factors of 39.
