Factors of 1297
Factors of 1297 are numbers that, when multiplied in pairs give the product as 1297. There are total 2 factors of 1297 i.e. 1, 1297. The sum of all factors of 1297 is 1298 and its factors in Pairs are (1, 1297).
- All Factors of 1297: 1 and 1297
- Negative Factors of 1297: -1 and -1297
- Prime Factors of 1297: 1297
- Prime Factorization of 1297: 12971
- Sum of Factors of 1297: 1298
1. | What Are the Factors of 1297? |
2. | Factors of 1297 by Prime Factorization |
3. | Factors of 1297 in Pairs |
4. | FAQs on Factors of 1297 |
![Factors of 1297](https://static.qumath.in/static/website/old-cdn-static/factors/factors-of-1297.png)
What are Factors of 1297?
Factors of 1297 are pairs of those numbers whose products result in 1297. These factors are either prime numbers or composite numbers.
How to Find the Factors of 1297?
To find the factors of 1297, we will have to find the list of numbers that would divide 1297 without leaving any remainder.
- 1297/1 = 1297; therefore, 1 is a factor of 1297.
- 1297/1297 = 1; therefore, 1297 is a factor of 1297.
☛ Also Check:
- Factors of 65 - The factors of 65 are 1, 5, 13, 65
- Factors of 21 - The factors of 21 are 1, 3, 7, 21
- Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
- Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
- Factors of 14 - The factors of 14 are 1, 2, 7, 14
Factors of 1297 by Prime Factorization
So, the prime factorization of 1297 can be written as 12971 where 1297 is prime.
Factors of 1297 in Pairs
Pair factors of 1297 are the pairs of numbers that when multiplied give the product 1297. The factors of 1297 in pairs are:
- 1 × 1297 = (1, 1297)
Negative pair factors of 1297 are:
- -1 × -1297 = (-1, -1297)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 1297 Solved Examples
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Example 1: How many factors are there for 1297?
Solution:
The factors of 1297 are 1, 1297. Therefore, 1297 has 2 factors.
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Example 2: Find the LCM and Highest Common Factor (HCF) of 1297 and 164.
Solution:
The factors of 1297 are 1, 1297 and factors of 164 are 1, 2, 4, 41, 82, 164.
Therefore, the LCM of 1297 and 164 is 212708 and Highest Common Factor (HCF) of 1297 and 164 is 1. -
Example 3: Find if 313 and 1297 are factors of 1297.
Solution:
When we divide 1297 by 313 it leaves a remainder. Therefore, the number 313 is not a factor of 1297. All numbers except 313 are factors of 1297.
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Example 4: Find the product of all the factors of 1297.
Solution:
Since, the factors of 1297 are 1, 1297. Therefore, the product of factors = 1 × 1297 = 1297.
FAQs on Factors of 1297
What are the Factors of 1297?
The factors of 1297 are 1, 1297 and its negative factors are -1, -1297.
What is the Sum of all Factors of 1297?
Factors of 1297 are 1, 1297 and, the sum of all these factors is 1 + 1297 = 1298
What numbers are the Pair Factors of 1297?
The pair factors of 1297 are (1, 1297).
What is the Greatest Common Factor of 1297 and 1101?
The factors of 1297 are 1, 1297 and the factors of 1101 are 1, 3, 367, 1101. 1297 and 1101 have only one common factor which is 1. This implies that 1297 and 1101 are co-prime.
Hence, the Greatest Common Factor (GCF) of 1297 and 1101 is 1.
How Many Factors of 1297 are also common to the Factors of 799?
Since, the factors of 1297 are 1, 1297 and factors of 799 are 1, 17, 47, 799. Hence, 1297 and 799 have only one common factor which is 1. Therefore, 1297 and 799 are co-prime.
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