Factors of 3110
Factors of 3110 are the list of integers that we can split evenly into 3110. It has a total of 8 factors of which 3110 is the biggest factor and the positive factors of 3110 are 1, 2, 5, 10, 311, 622, 1555, 3110. The Pair Factors of 3110 are (1, 3110), (2, 1555), (5, 622), (10, 311) and its Prime Factors are 2 × 5 × 311.
- All Factors of 3110: 1, 2, 5, 10, 311, 622, 1555 and 3110
- Negative Factors of 3110: -1, -2, -5, -10, -311, -622, -1555 and -3110
- Prime Factors of 3110: 2, 5, 311
- Prime Factorization of 3110: 21 × 51 × 3111
- Sum of Factors of 3110: 5616
1. | What Are the Factors of 3110? |
2. | Factors of 3110 by Prime Factorization |
3. | Factors of 3110 in Pairs |
4. | FAQs on Factors of 3110 |

What are Factors of 3110?
Factors of 3110 are pairs of those numbers whose products result in 3110. These factors are either prime numbers or composite numbers.
How to Find the Factors of 3110?
To find the factors of 3110, we will have to find the list of numbers that would divide 3110 without leaving any remainder.
- 3110/2 = 1555; therefore, 2 is a factor of 3110 and 1555 is also a factor of 3110.
- 3110/311 = 10; therefore, 311 is a factor of 3110 and 10 is also a factor of 3110.
☛ Also Check:
- Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
- Factors of 9 - The factors of 9 are 1, 3, 9
- Factors of 65 - The factors of 65 are 1, 5, 13, 65
- Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
- Factors of 37 - The factors of 37 are 1, 37
Factors of 3110 by Prime Factorization
- 3110 ÷ 2 = 1555
Further dividing 1555 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 1555 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 3110 can be written as 21 × 51 × 3111 where 2, 5, 311 are prime.
Factors of 3110 in Pairs
Pair factors of 3110 are the pairs of numbers that when multiplied give the product 3110. The factors of 3110 in pairs are:
- 1 × 3110 = (1, 3110)
- 2 × 1555 = (2, 1555)
- 5 × 622 = (5, 622)
- 10 × 311 = (10, 311)
Negative pair factors of 3110 are:
- -1 × -3110 = (-1, -3110)
- -2 × -1555 = (-2, -1555)
- -5 × -622 = (-5, -622)
- -10 × -311 = (-10, -311)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 3110 Solved Examples
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Example 1: How many factors are there for 3110?
Solution:
The factors of 3110 are 1, 2, 5, 10, 311, 622, 1555, 3110. Therefore, 3110 has 8 factors.
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Example 2: Find the LCM and Greatest Common Factor (GCF) of 3110 and 935.
Solution:
The factors of 3110 are 1, 2, 5, 10, 311, 622, 1555, 3110 and factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935.
Therefore, the LCM of 3110 and 935 is 581570 and Greatest Common Factor (GCF) of 3110 and 935 is 5. -
Example 3: Find if 5, 10, 311, 1555 and 2126 are factors of 3110.
Solution:
When we divide 3110 by 2126 it leaves a remainder. Therefore, the number 2126 is not a factor of 3110. All numbers except 2126 are factors of 3110.
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Example 4: Find the product of all the prime factors of 3110.
Solution:
Since, the prime factors of 3110 are 2, 5, 311. Therefore, the product of prime factors = 2 × 5 × 311 = 3110.
FAQs on Factors of 3110
What are the Factors of 3110?
The factors of 3110 are 1, 2, 5, 10, 311, 622, 1555, 3110 and its negative factors are -1, -2, -5, -10, -311, -622, -1555, -3110.
What is the Sum of the Factors of 3110?
Sum of all factors of 3110 = (21 + 1 - 1)/(2 - 1) × (51 + 1 - 1)/(5 - 1) × (3111 + 1 - 1)/(311 - 1) = 5616
What are Pair Factors of 3110?
The pair factors of 3110 are (1, 3110), (2, 1555), (5, 622), (10, 311).
What is the Greatest Common Factor of 3110 and 745?
The factors of 3110 and 745 are 1, 2, 5, 10, 311, 622, 1555, 3110 and 1, 5, 149, 745 respectively.
Common factors of 3110 and 745 are [1, 5].
Hence, the Greatest Common Factor of 3110 and 745 is 5.
How Many Factors of 3110 are also common to the Factors of 3008?
Since, the factors of 3110 are 1, 2, 5, 10, 311, 622, 1555, 3110 and the factors of 3008 are 1, 2, 4, 8, 16, 32, 47, 64, 94, 188, 376, 752, 1504, 3008.
Hence, [1, 2] are the common factors of 3110 and 3008.
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