Definition of factors of 47: If a number completely divides 47 with the remainder zero, then that number is called a factor of 47.
By the above definition, we can say that the factors of 47 are the divisors of 47. In this section, we will learn about the factors of 47 and the prime factors of 47.
Also Read: Basic concepts of the factors of a number
Table of Contents
Highlights of Factors of 47
- 47=1×47 is the prime factorization of 47.
- The factors of 47 are 1 and 47.
- The only prime factor of 47 is 47.
- Negative factors of 47 are –1 and –47.
What are the Factors of 47?
To get the factors of 47 we need to first write the number 47 multiplicatively in all possible ways. We have:
47 = 1×47
This is the only way we can express 47 multiplicatively. Therefore the factors of 47 in pairs are given as follows:
| 47 = a×b | Factors in Pairs (a,b) |
| 47 = 1×47 | (1, 47) |
Thus the only pair factor of 47 is (1, 47). We know that all the numbers appearing in pair factors are the factors of 47. So we conclude that
|
The factors of 47 are: 1 and 47. |
Number of Factors of 47
From above we have calculated the factors of 47 which are 1 and 47. Thus the total number of factors of 47 is two.
Prime Factors of 47
Note that the factors of 47 are 1 and 47. Among those factors, we observe that only 47 is a prime number as it does not have any proper divisors.
∴ the only prime factor of 47 is the number 47 itself.
Question: What are the factors of 47?
Video Solution: coming soon…
Is 47 a Prime Number?
As the factors of 47 are 1 and the number itself, by the definition of prime numbers, we can say that 47 is a prime number.
Conclusion: 47 is a prime number.
How to Find Factors of 47?
Now we will determine the factors of 47 by division method. In this method, we will find the numbers that can divide 47 with no remainder. See that
47/1=47 and the remainder is 0.
∴ 1 and 47 are factors of 47.
Note that no numbers other than the numbers in violet color can divide 47. So the numbers in violet color, that is, 1 and 47 are the complete list of factors of 47.
