Factors of 2023
Factors of 2023 are the list of integers that we can split evenly into 2023. There are 6 factors of 2023 of which 2023 itself is the biggest factor and its positive factors are 1, 7, 17, 119, 289, 2023. The Prime Factors and Pair Factors of 2023 are 7 × 17 and (1, 2023), (7, 289), (17, 119) respectively.
- All Factors of 2023: 1, 7, 17, 119, 289 and 2023
- Negative Factors of 2023: -1, -7, -17, -119, -289 and -2023
- Prime Factors of 2023: 7, 17
- Prime Factorization of 2023: 71 × 172
- Sum of Factors of 2023: 2456
1. | What Are the Factors of 2023? |
2. | Factors of 2023 by Prime Factorization |
3. | Factors of 2023 in Pairs |
4. | FAQs on Factors of 2023 |
What are Factors of 2023?
Factors of 2023 are pairs of those numbers whose products result in 2023. These factors are either prime numbers or composite numbers.
How to Find the Factors of 2023?
To find the factors of 2023, we will have to find the list of numbers that would divide 2023 without leaving any remainder.
- 2023/289 = 7; therefore, 289 is a factor of 2023 and 7 is also a factor of 2023.
- 2023/17 = 119; therefore, 17 is a factor of 2023 and 119 is also a factor of 2023.
☛ Also Check:
- Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
- Factors of 55 - The factors of 55 are 1, 5, 11, 55
- Factors of 4 - The factors of 4 are 1, 2, 4
- Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
- Factors of 22 - The factors of 22 are 1, 2, 11, 22
Factors of 2023 by Prime Factorization
- 2023 ÷ 7 = 289
Further dividing 289 by 7 gives a non-zero remainder. So we stop the process and continue dividing the number 289 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 2023 can be written as 71 × 172 where 7, 17 are prime.
Factors of 2023 in Pairs
Pair factors of 2023 are the pairs of numbers that when multiplied give the product 2023. The factors of 2023 in pairs are:
- 1 × 2023 = (1, 2023)
- 7 × 289 = (7, 289)
- 17 × 119 = (17, 119)
Negative pair factors of 2023 are:
- -1 × -2023 = (-1, -2023)
- -7 × -289 = (-7, -289)
- -17 × -119 = (-17, -119)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 2023 Solved Examples
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Example 1: How many factors are there for 2023?
Solution:
The factors of 2023 are 1, 7, 17, 119, 289, 2023. Therefore, 2023 has 6 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 2023 and 1090.
Solution:
The factors of 2023 are 1, 7, 17, 119, 289, 2023 and factors of 1090 are 1, 2, 5, 10, 109, 218, 545, 1090.
Therefore, the Least Common Multiple of 2023 and 1090 is 2205070 and Greatest Common Factor (GCF) of 2023 and 1090 is 1. -
Example 3: Find if 17, 260, 289 and 2023 are factors of 2023.
Solution:
When we divide 2023 by 260 it leaves a remainder. Therefore, the number 260 is not a factor of 2023. All numbers except 260 are factors of 2023.
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Example 4: Find the product of all the prime factors of 2023.
Solution:
Since, the prime factors of 2023 are 7, 17. Therefore, the product of prime factors = 7 × 17 = 119.
FAQs on Factors of 2023
What are the Factors of 2023?
The factors of 2023 are 1, 7, 17, 119, 289, 2023 and its negative factors are -1, -7, -17, -119, -289, -2023.
What is the Sum of the Factors of 2023?
Since, all factors of 2023 are 1, 7, 17, 119, 289, 2023 therefore, the sum of its factors is 1 + 7 + 17 + 119 + 289 + 2023 = 2456.
What are the Prime Factors of 2023?
The prime factors of 2023 are 7, 17.
What is the Greatest Common Factor of 2023 and 1912?
The factors of 2023 are 1, 7, 17, 119, 289, 2023 and the factors of 1912 are 1, 2, 4, 8, 239, 478, 956, 1912. 2023 and 1912 have only one common factor which is 1. This implies that 2023 and 1912 are co-prime.
Hence, the Greatest Common Factor (GCF) of 2023 and 1912 is 1.
How Many Factors of 1813 are also common to the Factors of 2023?
Since, the factors of 2023 are 1, 7, 17, 119, 289, 2023 and the factors of 1813 are 1, 7, 37, 49, 259, 1813.
Hence, [1, 7] are the common factors of 2023 and 1813.
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