Factors of 2018
Factors of 2018 are numbers that, when multiplied in pairs give the product as 2018. There are overall 4 factors of 2018 among which 2018 is the biggest factor and its positive factors are 1, 2, 1009, 2018. The Prime Factors and Pair Factors of 2018 are 2 × 1009 and (1, 2018), (2, 1009) respectively.
- All Factors of 2018: 1, 2, 1009 and 2018
- Negative Factors of 2018: -1, -2, -1009 and -2018
- Prime Factors of 2018: 2, 1009
- Prime Factorization of 2018: 21 × 10091
- Sum of Factors of 2018: 3030
1. | What Are the Factors of 2018? |
2. | Factors of 2018 by Prime Factorization |
3. | Factors of 2018 in Pairs |
4. | FAQs on Factors of 2018 |

What are Factors of 2018?
Factors of 2018 are pairs of those numbers whose products result in 2018. These factors are either prime numbers or composite numbers.
How to Find the Factors of 2018?
To find the factors of 2018, we will have to find the list of numbers that would divide 2018 without leaving any remainder.
- 2018/1009 = 2; therefore, 1009 is a factor of 2018 and 2 is also a factor of 2018.
- 2018/2018 = 1; therefore, 2018 is a factor of 2018 and 1 is also a factor of 2018.
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- Factors of 41 - The factors of 41 are 1, 41
- Factors of 13 - The factors of 13 are 1, 13
- Factors of 37 - The factors of 37 are 1, 37
Factors of 2018 by Prime Factorization
- 2018 ÷ 2 = 1009
Further dividing 1009 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 1009 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 2018 can be written as 21 × 10091 where 2, 1009 are prime.
Factors of 2018 in Pairs
Pair factors of 2018 are the pairs of numbers that when multiplied give the product 2018. The factors of 2018 in pairs are:
- 1 × 2018 = (1, 2018)
- 2 × 1009 = (2, 1009)
Negative pair factors of 2018 are:
- -1 × -2018 = (-1, -2018)
- -2 × -1009 = (-2, -1009)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 2018 Solved Examples
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Example 1: How many factors are there for 2018?
Solution:
The factors of 2018 are 1, 2, 1009, 2018. Therefore, 2018 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 2018 and 1803.
Solution:
The factors of 2018 are 1, 2, 1009, 2018 and factors of 1803 are 1, 3, 601, 1803.
Therefore, the Lowest Common Multiple (LCM) of 2018 and 1803 is 3638454 and Greatest Common Factor (GCF) of 2018 and 1803 is 1. -
Example 3: Find if 1, 1009 and 1592 are factors of 2018.
Solution:
When we divide 2018 by 1592 it leaves a remainder. Therefore, the number 1592 is not a factor of 2018. All numbers except 1592 are factors of 2018.
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Example 4: Find the product of all the prime factors of 2018.
Solution:
Since, the prime factors of 2018 are 2, 1009. Therefore, the product of prime factors = 2 × 1009 = 2018.
FAQs on Factors of 2018
What are the Factors of 2018?
The factors of 2018 are 1, 2, 1009, 2018 and its negative factors are -1, -2, -1009, -2018.
What is the Sum of the Factors of 2018?
Since, all factors of 2018 are 1, 2, 1009, 2018 therefore, the sum of its factors is 1 + 2 + 1009 + 2018 = 3030.
What numbers are the Pair Factors of 2018?
The pair factors of 2018 are (1, 2018), (2, 1009).
What is the Greatest Common Factor of 2018 and 1354?
The factors of 2018 and 1354 are 1, 2, 1009, 2018 and 1, 2, 677, 1354 respectively.
Common factors of 2018 and 1354 are [1, 2].
Hence, the GCF of 2018 and 1354 is 2.
How Many Factors of 724 are also common to the Factors of 2018?
Since, the factors of 2018 are 1, 2, 1009, 2018 and the factors of 724 are 1, 2, 4, 181, 362, 724.
Hence, [1, 2] are the common factors of 2018 and 724.
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