Factors of 847
Factors of 847 are the list of integers that we can split evenly into 847. There are overall 6 factors of 847 among which 847 is the biggest factor and its positive factors are 1, 7, 11, 77, 121, 847. The Prime Factors and Pair Factors of 847 are 7 × 11 and (1, 847), (7, 121), (11, 77) respectively.
- All Factors of 847: 1, 7, 11, 77, 121 and 847
- Negative Factors of 847: -1, -7, -11, -77, -121 and -847
- Prime Factors of 847: 7, 11
- Prime Factorization of 847: 71 × 112
- Sum of Factors of 847: 1064
1. | What Are the Factors of 847? |
2. | Factors of 847 by Prime Factorization |
3. | Factors of 847 in Pairs |
4. | FAQs on Factors of 847 |
What are Factors of 847?
Factors of 847 are pairs of those numbers whose products result in 847. These factors are either prime numbers or composite numbers.
How to Find the Factors of 847?
To find the factors of 847, we will have to find the list of numbers that would divide 847 without leaving any remainder.
- 847/1 = 847; therefore, 1 is a factor of 847.
- 847/11 = 77; therefore, 11 is a factor of 847.
☛ Also Check:
- Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
- Factors of 33 - The factors of 33 are 1, 3, 11, 33
- Factors of 91 - The factors of 91 are 1, 7, 13, 91
- Factors of 49 - The factors of 49 are 1, 7, 49
- Factors of 38 - The factors of 38 are 1, 2, 19, 38
Factors of 847 by Prime Factorization
- 847 ÷ 7 = 121
Further dividing 121 by 7 gives a non-zero remainder. So we stop the process and continue dividing the number 121 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 847 can be written as 71 × 112 where 7, 11 are prime.
Factors of 847 in Pairs
Pair factors of 847 are the pairs of numbers that when multiplied give the product 847. The factors of 847 in pairs are:
- 1 × 847 = (1, 847)
- 7 × 121 = (7, 121)
- 11 × 77 = (11, 77)
Negative pair factors of 847 are:
- -1 × -847 = (-1, -847)
- -7 × -121 = (-7, -121)
- -11 × -77 = (-11, -77)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 847 Solved Examples
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Example 1: How many factors are there for 847?
Solution:
The factors of 847 are 1, 7, 11, 77, 121, 847. Therefore, 847 has 6 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 847 and 367.
Solution:
The factors of 847 are 1, 7, 11, 77, 121, 847 and factors of 367 are 1, 367.
Therefore, the Least Common Multiple of 847 and 367 is 310849 and Greatest Common Factor (GCF) of 847 and 367 is 1. -
Example 3: Find if 7, 121, 181 and 847 are factors of 847.
Solution:
When we divide 847 by 181 it leaves a remainder. Therefore, the number 181 is not a factor of 847. All numbers except 181 are factors of 847.
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Example 4: Find the product of all the prime factors of 847.
Solution:
Since, the prime factors of 847 are 7, 11. Therefore, the product of prime factors = 7 × 11 = 77.
FAQs on Factors of 847
What are the Factors of 847?
The factors of 847 are 1, 7, 11, 77, 121, 847 and its negative factors are -1, -7, -11, -77, -121, -847.
What is the Sum of Factors of 847?
Since, all factors of 847 are 1, 7, 11, 77, 121, 847 therefore, the sum of its factors is 1 + 7 + 11 + 77 + 121 + 847 = 1064.
What are the Prime Factors of 847?
The prime factors of 847 are 7, 11.
What is the Greatest Common Factor of 847 and 307?
The factors of 847 are 1, 7, 11, 77, 121, 847 and the factors of 307 are 1, 307. 847 and 307 have only one common factor which is 1. This implies that 847 and 307 are co-prime.
Hence, the Greatest Common Factor (GCF) of 847 and 307 is 1.
What are the Common Factors of 847 and 395?
Since, the factors of 847 are 1, 7, 11, 77, 121, 847 and factors of 395 are 1, 5, 79, 395. Hence, 847 and 395 have only one common factor which is 1. Therefore, 847 and 395 are co-prime.
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