Factors of 851
Factors of 851 are the list of integers that can be evenly divided into 851. There are total 4 factors of 851 i.e. 1, 23, 37, 851. The Prime Factors of 851 are 23 × 37 and its Factors in Pairs are (1, 851), (23, 37).
- All Factors of 851: 1, 23, 37 and 851
- Negative Factors of 851: -1, -23, -37 and -851
- Prime Factors of 851: 23, 37
- Prime Factorization of 851: 231 × 371
- Sum of Factors of 851: 912
1. | What Are the Factors of 851? |
2. | Factors of 851 by Prime Factorization |
3. | Factors of 851 in Pairs |
4. | FAQs on Factors of 851 |

What are Factors of 851?
Factors of 851 are pairs of those numbers whose products result in 851. These factors are either prime numbers or composite numbers.
How to Find the Factors of 851?
To find the factors of 851, we will have to find the list of numbers that would divide 851 without leaving any remainder.
- 851/37 = 23; therefore, 37 is a factor of 851 and 23 is also a factor of 851.
- 851/851 = 1; therefore, 851 is a factor of 851 and 1 is also a factor of 851.
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Factors of 851 by Prime Factorization
- 851 ÷ 23 = 37
Further dividing 37 by 23 gives a non-zero remainder. So we stop the process and continue dividing the number 37 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.
So, the prime factorization of 851 can be written as 231 × 371 where 23, 37 are prime.
Factors of 851 in Pairs
Pair factors of 851 are the pairs of numbers that when multiplied give the product 851. The factors of 851 in pairs are:
- 1 × 851 = (1, 851)
- 23 × 37 = (23, 37)
Negative pair factors of 851 are:
- -1 × -851 = (-1, -851)
- -23 × -37 = (-23, -37)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 851 Solved Examples
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Example 1: How many factors are there for 851?
Solution:
The factors of 851 are 1, 23, 37, 851. Therefore, 851 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 851 and 344.
Solution:
The factors of 851 are 1, 23, 37, 851 and factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344.
Therefore, the Lowest Common Multiple (LCM) of 851 and 344 is 292744 and Highest Common Factor (HCF) of 851 and 344 is 1. -
Example 3: Find if 37, 622 and 851 are factors of 851.
Solution:
When we divide 851 by 622 it leaves a remainder. Therefore, the number 622 is not a factor of 851. All numbers except 622 are factors of 851.
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Example 4: Find the product of all the prime factors of 851.
Solution:
Since, the prime factors of 851 are 23, 37. Therefore, the product of prime factors = 23 × 37 = 851.
FAQs on Factors of 851
What are the Factors of 851?
The factors of 851 are 1, 23, 37, 851 and its negative factors are -1, -23, -37, -851.
What is the Sum of Factors of 851?
Since, all factors of 851 are 1, 23, 37, 851 therefore, the sum of its factors is 1 + 23 + 37 + 851 = 912.
What are the Prime Factors of 851?
The prime factors of 851 are 23, 37.
What is the Greatest Common Factor of 851 and 379?
The factors of 851 are 1, 23, 37, 851 and the factors of 379 are 1, 379. 851 and 379 have only one common factor which is 1. This implies that 851 and 379 are co-prime.
Hence, the Greatest Common Factor (GCF) of 851 and 379 is 1.
How Many Factors of 851 are also Factors of 651?
Since, the factors of 851 are 1, 23, 37, 851 and factors of 651 are 1, 3, 7, 21, 31, 93, 217, 651. Hence, 851 and 651 have only one common factor which is 1. Therefore, 851 and 651 are co-prime.
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