Factors of 47
Factors of 47 are the list of integers that can be evenly divided into 47. There are overall 2 factors of 47 among which 47 is the biggest factor and its positive factors are 1 and 47. The sum of all factors of 47 is 48 and its factors in Pairs are (1, 47).
- Factors of 47: 1 and 47
- Negative Factors of 47: -1 and -47
- Prime Factors of 47: 47
- Prime Factorization of 47: 47
- Sum of Factors of 47: 48
| 1. | What Are the Factors of 47? |
| 2. | How to Calculate the Factors of 47? |
| 3. | Factors of 47 by Prime Factorization |
| 4. | Factors of 47 in Pairs |
| 5. | FAQs on Factors of 47 |
What Are the Factors of 47?
The factors of 47 are numbers which on dividing 47 leave no remainder.
Since 47 is a prime number, it has only two factors.
Factors of 47 = 1 and 47
Important Notes
- Only whole numbers and integers can be factors.
- Only composite numbers can have more than two factors.
How to Calculate the Factors of 47?
Let us calculate factors of 47.
In considering numbers that can divide 47 without remainders, we start with 1, then check 2, 3, 4, 5, 6, 7, 8, 9, etc. up to 23 (which is almost half of 47).
| Dividing | Result |
|---|---|
| 47 ÷ 1 = 47 |
Gives remainder 0. Therefore 1 is a factor. |
| 47 ÷ 47 = 1 |
Gives remainder 0. Therefore 47 is a factor. |
Factors of 47 by Prime Factorization
Prime factorization of a number refers to representing a number in the form of products of its prime factors.
Prime factors of any number can be found out by the following methods:
Method 1: Division method
Let us find the prime factors of 47 by the division method.
Divide the number 47.
We have received 1 at the end and we cannot proceed further with the division method.
So, the prime factorization of 47 is 1 x 47, where 47 is a prime number.
Method 2: Factor tree
We will do this by factor tree.
So the prime factor of 47 is 47 only.
Further, find the products of the multiplicands in different orders to obtain the composite factors of the number.
Thus, the total factors can be written including both the numbers together as 1 and 47.
Factors of 47 in pairs
There is only one positive pair factor of 47.
| Factor Pair | Pair Factorization |
|---|---|
| 1 and 47 | 1 x 47= 47 |
FAQs on Factors of 47
What are the Factors of 47?
The factors of 47 are 1, 47 and its negative factors are -1, -47.
What is the sum of all the Factors of 47?
All the Factors of 47 are 1, 47 and therefore the sum of all these factors is 1 + 47 = 48
How Many Factors of 47 are also Factors of 35?
Since the factors of 47 are 1, 47 and factors of 35 are 1, 5, 7, 35. Hence, 47 and 35 have only one common factor which is 1. Therefore, 47 and 35 are co-prime.
What is the Greatest Common Factor of 47 and 10?
The factors of 47 are 1, 47 and the factors of 10 are 1, 2, 5, 10. 47 and 10 have only one common factor which is 1. This implies that 47 and 10 are co-prime.
Hence, the Greatest Common Factor (GCF) of 47 and 10 is 1.
What are the Pair Factors of 47?
The pair factors of 47 are (1, 47).