Factors of 7163
Factors of 7163 are the list of integers that can be evenly divided into 7163. There are 8 factors of 7163 of which 7163 itself is the biggest factor and its positive factors are 1, 13, 19, 29, 247, 377, 551, 7163. The sum of all factors of 7163 is 8400. Its Prime Factors are 13 × 19 × 29 and (1, 7163), (13, 551), (19, 377), (29, 247) are Pair Factors.
- All Factors of 7163: 1, 13, 19, 29, 247, 377, 551 and 7163
- Negative Factors of 7163: -1, -13, -19, -29, -247, -377, -551 and -7163
- Prime Factors of 7163: 13, 19, 29
- Prime Factorization of 7163: 131 × 191 × 291
- Sum of Factors of 7163: 8400
1. | What Are the Factors of 7163? |
2. | Factors of 7163 by Prime Factorization |
3. | Factors of 7163 in Pairs |
4. | FAQs on Factors of 7163 |
![Factors of 7163](https://static.qumath.in/static/website/old-cdn-static/factors/factors-of-7163.png)
What are Factors of 7163?
Factors of 7163 are pairs of those numbers whose products result in 7163. These factors are either prime numbers or composite numbers.
How to Find the Factors of 7163?
To find the factors of 7163, we will have to find the list of numbers that would divide 7163 without leaving any remainder.
- 7163/1 = 7163; therefore, 1 is a factor of 7163.
- 7163/551 = 13; therefore, 551 is a factor of 7163.
☛ Also Check:
- Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
- Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
- Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
- Factors of 11 - The factors of 11 are 1, 11
- Factors of 10 - The factors of 10 are 1, 2, 5, 10
Factors of 7163 by Prime Factorization
- 7163 ÷ 13 = 551
Further dividing 551 by 13 gives a non-zero remainder. So we stop the process and continue dividing the number 551 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 7163 can be written as 131 × 191 × 291 where 13, 19, 29 are prime.
Factors of 7163 in Pairs
Pair factors of 7163 are the pairs of numbers that when multiplied give the product 7163. The factors of 7163 in pairs are:
- 1 × 7163 = (1, 7163)
- 13 × 551 = (13, 551)
- 19 × 377 = (19, 377)
- 29 × 247 = (29, 247)
Negative pair factors of 7163 are:
- -1 × -7163 = (-1, -7163)
- -13 × -551 = (-13, -551)
- -19 × -377 = (-19, -377)
- -29 × -247 = (-29, -247)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 7163 Solved Examples
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Example 1: How many factors are there for 7163?
Solution:
The factors of 7163 are 1, 13, 19, 29, 247, 377, 551, 7163. Therefore, 7163 has 8 factors.
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Example 2: Find the Least Common Multiple and Highest Common Factor (HCF) of 7163 and 718.
Solution:
The factors of 7163 are 1, 13, 19, 29, 247, 377, 551, 7163 and factors of 718 are 1, 2, 359, 718.
Therefore, the Least Common Multiple of 7163 and 718 is 5143034 and Highest Common Factor (HCF) of 7163 and 718 is 1. -
Example 3: Find if 13, 19, 29, 247 and 3800 are factors of 7163.
Solution:
When we divide 7163 by 3800 it leaves a remainder. Therefore, the number 3800 is not a factor of 7163. All numbers except 3800 are factors of 7163.
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Example 4: Find the product of all the prime factors of 7163.
Solution:
Since, the prime factors of 7163 are 13, 19, 29. Therefore, the product of prime factors = 13 × 19 × 29 = 7163.
FAQs on Factors of 7163
What are the Factors of 7163?
The factors of 7163 are 1, 13, 19, 29, 247, 377, 551, 7163 and its negative factors are -1, -13, -19, -29, -247, -377, -551, -7163.
What is the Sum of Factors of 7163?
Sum of all factors of 7163 = (131 + 1 - 1)/(13 - 1) × (191 + 1 - 1)/(19 - 1) × (291 + 1 - 1)/(29 - 1) = 8400
What are Pair Factors of 7163?
The pair factors of 7163 are (1, 7163), (13, 551), (19, 377), (29, 247).
What is the Greatest Common Factor of 7163 and 1019?
The factors of 7163 are 1, 13, 19, 29, 247, 377, 551, 7163 and the factors of 1019 are 1, 1019. 7163 and 1019 have only one common factor which is 1. This implies that 7163 and 1019 are co-prime.
Hence, the Greatest Common Factor (GCF) of 7163 and 1019 is 1.
How Many Factors of 7163 are also common to the Factors of 4641?
Since, the factors of 7163 are 1, 13, 19, 29, 247, 377, 551, 7163 and the factors of 4641 are 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547, 4641.
Hence, [1, 13] are the common factors of 7163 and 4641.
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