The factors of 13 are those numbers that completely divide 13 with the remainder zero. In fact, the factors of 13 are the same as the divisors of 13. Let us learn about the factors of 13 and the prime factors of 13 here.
Also Read: Basic concepts of the factors of a number
Table of Contents
Highlights of Factors of 13
- 13=1×13 is the prime factorization of 13.
- The factors of 13 are 1 and 13.
- 13 is the only prime factor of 13.
- Negative factors of 13 are –1 and –13.
What are the factors of 13?
To get the factors of 13 we need to first write the number 13 multiplicatively in all possible ways. Note that
13 = 1×13
is the only way we can express 13 multiplicatively. Thus the factors of 13 in pairs are given as follows:
|13 = a×b||Factors in Pairs (a,b)|
|13 = 1×13||(1, 13)|
Therefore, the only pair factor of 13 is (1, 13). As the numbers appearing in pair factors are the factors of 13, we obtain that:
The factors of 13 are 1 and 13.
Number of Factors of 13
From above we have calculated the factors of 13 which are 1 and 13. Thus the total number of factors of 13 is two.
Prime Factors of 13
Note that the factors of 13 are 1 and 13. Among these factors, we observe that only 13 is a prime number as it does not have any proper divisors.
∴ the only prime factor of 13 is the number 13 itself.
Question: What are the factors of 13?
Video Solution: coming soon…
Is 13 a Prime Number?
As the factors of 13 are 1 and the number 13 itself, by the definition of prime numbers, we can say that 13 is a prime number.
Conclusion: 13 is a prime number.
How to Find Factors of 13?
Now we will determine the factors of 13 by division method. In this method, we will find the numbers that can divide 13 with no remainder. See that
13/1=13 and the remainder is 0.
∴ 1 and 13 are factors of 13.
Note that no numbers other than the numbers in violet color can divide 13. So the numbers in violet color, that is, 1 and 13 are the complete list of factors of 13.
FAQs on Factors of 13
Ans: The factors of 13 are 1 and 13.
Ans: Yes, 13 is a prime number as it is divisible by 1 and 13 only.
Ans: (1, 13) is the only pair factor of 13.
Ans: The prime factorization of 13 is 13=1×13.