Factors of 2019
Factors of 2019 are numbers that, when multiplied in pairs give the product as 2019. There are total 4 factors of 2019 i.e. 1, 3, 673, 2019. The Prime Factors and Pair Factors of 2019 are 3 × 673 and (1, 2019), (3, 673) respectively.
- All Factors of 2019: 1, 3, 673 and 2019
- Negative Factors of 2019: -1, -3, -673 and -2019
- Prime Factors of 2019: 3, 673
- Prime Factorization of 2019: 31 × 6731
- Sum of Factors of 2019: 2696
1. | What Are the Factors of 2019? |
2. | Factors of 2019 by Prime Factorization |
3. | Factors of 2019 in Pairs |
4. | FAQs on Factors of 2019 |

What are Factors of 2019?
Factors of 2019 are pairs of those numbers whose products result in 2019. These factors are either prime numbers or composite numbers.
How to Find the Factors of 2019?
To find the factors of 2019, we will have to find the list of numbers that would divide 2019 without leaving any remainder.
- 2019/3 = 673; therefore, 3 is a factor of 2019 and 673 is also a factor of 2019.
- 2019/2019 = 1; therefore, 2019 is a factor of 2019 and 1 is also a factor of 2019.
☛ Also Check:
- Factors of 6 - The factors of 6 are 1, 2, 3, 6
- Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45
- Factors of 180 - The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
- Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
- Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Factors of 2019 by Prime Factorization
- 2019 ÷ 3 = 673
Further dividing 673 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 673 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 2019 can be written as 31 × 6731 where 3, 673 are prime.
Factors of 2019 in Pairs
Pair factors of 2019 are the pairs of numbers that when multiplied give the product 2019. The factors of 2019 in pairs are:
- 1 × 2019 = (1, 2019)
- 3 × 673 = (3, 673)
Negative pair factors of 2019 are:
- -1 × -2019 = (-1, -2019)
- -3 × -673 = (-3, -673)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 2019 Solved Examples
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Example 1: How many factors are there for 2019?
Solution:
The factors of 2019 are 1, 3, 673, 2019. Therefore, 2019 has 4 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Divisor (GCD) of 2019 and 1439.
Solution:
The factors of 2019 are 1, 3, 673, 2019 and factors of 1439 are 1, 1439.
Therefore, the Least Common Multiple of 2019 and 1439 is 2905341 and Greatest Common Divisor (GCD) of 2019 and 1439 is 1. -
Example 3: Find if 1, 873 and 2019 are factors of 2019.
Solution:
When we divide 2019 by 873 it leaves a remainder. Therefore, the number 873 is not a factor of 2019. All numbers except 873 are factors of 2019.
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Example 4: Find the product of all the prime factors of 2019.
Solution:
Since, the prime factors of 2019 are 3, 673. Therefore, the product of prime factors = 3 × 673 = 2019.
FAQs on Factors of 2019
What are the Factors of 2019?
The factors of 2019 are 1, 3, 673, 2019 and its negative factors are -1, -3, -673, -2019.
What is the Sum of all the Factors of 2019?
All the Factors of 2019 are 1, 3, 673, 2019 and therefore the sum of all these factors is 1 + 3 + 673 + 2019 = 2696
What are the Prime Factors of 2019?
The prime factors of 2019 are 3, 673.
What is the Greatest Common Factor of 2019 and 1417?
The factors of 2019 are 1, 3, 673, 2019 and the factors of 1417 are 1, 13, 109, 1417. 2019 and 1417 have only one common factor which is 1. This implies that 2019 and 1417 are co-prime.
Hence, the Greatest Common Factor (GCF) of 2019 and 1417 is 1.
What are the Common Factors of 2019 and 1772?
Since, the factors of 2019 are 1, 3, 673, 2019 and factors of 1772 are 1, 2, 4, 443, 886, 1772. Hence, 2019 and 1772 have only one common factor which is 1. Therefore, 2019 and 1772 are co-prime.
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