Factors of 997
Factors of 997 are numbers that, when multiplied in pairs give the product as 997. There are 2 factors of 997, which are 1, 997. Here, 997 is the biggest factor. The Prime Factors and Pair Factors of 997 are 997 and (1, 997) respectively.
- All Factors of 997: 1 and 997
- Negative Factors of 997: -1 and -997
- Prime Factors of 997: 997
- Prime Factorization of 997: 9971
- Sum of Factors of 997: 998
1. | What Are the Factors of 997? |
2. | Factors of 997 by Prime Factorization |
3. | Factors of 997 in Pairs |
4. | FAQs on Factors of 997 |
What are Factors of 997?
Factors of 997 are pairs of those numbers whose products result in 997. These factors are either prime numbers or composite numbers.
How to Find the Factors of 997?
To find the factors of 997, we will have to find the list of numbers that would divide 997 without leaving any remainder.
- 997/1 = 997; therefore, 1 is a factor of 997.
- 997/997 = 1; therefore, 997 is a factor of 997.
☛ Also Check:
- Factors of 39 - The factors of 39 are 1, 3, 13, 39
- 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 25 - The factors of 25 are 1, 5, 25
- Factors of 29 - The factors of 29 are 1, 29
Factors of 997 by Prime Factorization
So, the prime factorization of 997 can be written as 9971 where 997 is prime.
Factors of 997 in Pairs
Pair factors of 997 are the pairs of numbers that when multiplied give the product 997. The factors of 997 in pairs are:
- 1 × 997 = (1, 997)
Negative pair factors of 997 are:
- -1 × -997 = (-1, -997)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 997 Solved Examples
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Example 1: How many factors are there for 997?
Solution:
The factors of 997 are 1, 997. Therefore, 997 has 2 factors.
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Example 2: Find the LCM and Greatest Common Factor (GCF) of 997 and 658.
Solution:
The factors of 997 are 1, 997 and factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658.
Therefore, the LCM of 997 and 658 is 656026 and Greatest Common Factor (GCF) of 997 and 658 is 1. -
Example 3: Find if 97 and 997 are factors of 997.
Solution:
When we divide 997 by 97 it leaves a remainder. Therefore, the number 97 is not a factor of 997. All numbers except 97 are factors of 997.
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Example 4: Find the product of all the factors of 997.
Solution:
Since, the factors of 997 are 1, 997. Therefore, the product of factors = 1 × 997 = 997.
FAQs on Factors of 997
What are the Factors of 997?
The factors of 997 are 1, 997 and its negative factors are -1, -997.
What is the Sum of all Factors of 997?
All the Factors of 997 are 1, 997 and therefore the sum of all these factors is 1 + 997 = 998
What numbers are the Pair Factors of 997?
The pair factors of 997 are (1, 997).
What is the Greatest Common Factor of 997 and 858?
The factors of 997 are 1, 997 and the factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858. 997 and 858 have only one common factor which is 1. This implies that 997 and 858 are co-prime.
Hence, the Greatest Common Factor (GCF) of 997 and 858 is 1.
How Many Factors of 416 are also common to the Factors of 997?
Since, the factors of 997 are 1, 997 and factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416. Hence, 997 and 416 have only one common factor which is 1. Therefore, 997 and 416 are co-prime.
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