Factors of 2003
Factors of 2003 are numbers that, when multiplied in pairs give the product as 2003. There are total 2 factors of 2003 i.e. 1, 2003. The sum of all factors of 2003 is 2004. Its Prime Factors is 2003 and (1, 2003) are Pair Factors.
- All Factors of 2003: 1 and 2003
- Negative Factors of 2003: -1 and -2003
- Prime Factors of 2003: 2003
- Prime Factorization of 2003: 20031
- Sum of Factors of 2003: 2004
1. | What Are the Factors of 2003? |
2. | Factors of 2003 by Prime Factorization |
3. | Factors of 2003 in Pairs |
4. | FAQs on Factors of 2003 |

What are Factors of 2003?
Factors of 2003 are pairs of those numbers whose products result in 2003. These factors are either prime numbers or composite numbers.
How to Find the Factors of 2003?
To find the factors of 2003, we will have to find the list of numbers that would divide 2003 without leaving any remainder.
- 2003/2003 = 1; therefore, 2003 is a factor of 2003.
- 2003/1 = 2003; therefore, 1 is a factor of 2003.
☛ Also Check:
- Factors of 70 - The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
- Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
- Factors of 16 - The factors of 16 are 1, 2, 4, 8, 16
- Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
- Factors of 14 - The factors of 14 are 1, 2, 7, 14
Factors of 2003 by Prime Factorization
So, the prime factorization of 2003 can be written as 20031 where 2003 is prime.
Factors of 2003 in Pairs
Pair factors of 2003 are the pairs of numbers that when multiplied give the product 2003. The factors of 2003 in pairs are:
- 1 × 2003 = (1, 2003)
Negative pair factors of 2003 are:
- -1 × -2003 = (-1, -2003)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 2003 Solved Examples
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Example 1: How many factors are there for 2003?
Solution:
The factors of 2003 are 1, 2003. Therefore, 2003 has 2 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Divisor (GCD) of 2003 and 1204.
Solution:
The factors of 2003 are 1, 2003 and factors of 1204 are 1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602, 1204.
Therefore, the Least Common Multiple of 2003 and 1204 is 2411612 and Greatest Common Divisor (GCD) of 2003 and 1204 is 1. -
Example 3: Find if 453 and 2003 are factors of 2003.
Solution:
When we divide 2003 by 453 it leaves a remainder. Therefore, the number 453 is not a factor of 2003. All numbers except 453 are factors of 2003.
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Example 4: Find the product of all the factors of 2003.
Solution:
Since, the factors of 2003 are 1, 2003. Therefore, the product of factors = 1 × 2003 = 2003.
FAQs on Factors of 2003
What are the Factors of 2003?
The factors of 2003 are 1, 2003 and its negative factors are -1, -2003.
What is the Sum of all Factors of 2003?
Since, all factors of 2003 are 1, 2003 therefore, the sum of its factors is 1 + 2003 = 2004.
What are the Pair Factors of 2003?
The pair factors of 2003 are (1, 2003).
What is the Greatest Common Factor of 2003 and 1755?
The factors of 2003 are 1, 2003 and the factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755. 2003 and 1755 have only one common factor which is 1. This implies that 2003 and 1755 are co-prime.
Hence, the Greatest Common Factor (GCF) of 2003 and 1755 is 1.
How Many Factors of 2003 are also common to the Factors of 1573?
Since, the factors of 2003 are 1, 2003 and factors of 1573 are 1, 11, 13, 121, 143, 1573. Hence, 2003 and 1573 have only one common factor which is 1. Therefore, 2003 and 1573 are co-prime.
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