Factors of 109
Factors of 109 are the list of integers that we can split evenly into 109. It has a total of 2 factors of which 109 is the biggest factor and the positive factors of 109 are 1, 109. The sum of all factors of 109 is 110 and its factors in Pairs are (1, 109).
- All Factors of 109: 1 and 109
- Negative Factors of 109: -1 and -109
- Prime Factors of 109: 109
- Prime Factorization of 109: 1091
- Sum of Factors of 109: 110
1. | What Are the Factors of 109? |
2. | Factors of 109 by Prime Factorization |
3. | Factors of 109 in Pairs |
4. | FAQs on Factors of 109 |
What are Factors of 109?
Factors of 109 are pairs of those numbers whose products result in 109. These factors are either prime numbers or composite numbers.
How to Find the Factors of 109?
To find the factors of 109, we will have to find the list of numbers that would divide 109 without leaving any remainder.
- 109/109 = 1; therefore, 109 is a factor of 109.
- 109/1 = 109; therefore, 1 is a factor of 109.
☛ Also Check:
- Factors of 55 - The factors of 55 are 1, 5, 11, 55
- Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
- Factors of 9 - The factors of 9 are 1, 3, 9
- Factors of 16 - The factors of 16 are 1, 2, 4, 8, 16
- Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
Factors of 109 by Prime Factorization
So, the prime factorization of 109 can be written as 1091 where 109 is prime.
Factors of 109 in Pairs
Pair factors of 109 are the pairs of numbers that when multiplied give the product 109. The factors of 109 in pairs are:
- 1 × 109 = (1, 109)
Negative pair factors of 109 are:
- -1 × -109 = (-1, -109)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 109 Solved Examples
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Example 1: How many factors are there for 109?
Solution:
The factors of 109 are 1, 109. Therefore, 109 has 2 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of 109 and 32.
Solution:
The factors of 109 are 1, 109 and factors of 32 are 1, 2, 4, 8, 16, 32.
Therefore, the Least Common Multiple (LCM) of 109 and 32 is 3488 and Greatest Common Factor (GCF) of 109 and 32 is 1. -
Example 3: Find if 22 and 109 are factors of 109.
Solution:
When we divide 109 by 22 it leaves a remainder. Therefore, the number 22 is not a factor of 109. All numbers except 22 are factors of 109.
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Example 4: Find the product of all the factors of 109.
Solution:
Since, the factors of 109 are 1, 109. Therefore, the product of factors = 1 × 109 = 109.
FAQs on Factors of 109
What are the Factors of 109?
The factors of 109 are 1, 109 and its negative factors are -1, -109.
What is the Sum of the Factors of 109?
Since, all factors of 109 are 1, 109 therefore, the sum of its factors is 1 + 109 = 110.
What are the Prime Factors of 109?
The prime factor of 109 is 109.
What is the Greatest Common Factor of 109 and 80?
The factors of 109 are 1, 109 and the factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80. 109 and 80 have only one common factor which is 1. This implies that 109 and 80 are co-prime.
Hence, the Greatest Common Factor (GCF) of 109 and 80 is 1.
What are the Common Factors of 109 and 24?
Since, the factors of 109 are 1, 109 and factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. Hence, 109 and 24 have only one common factor which is 1. Therefore, 109 and 24 are co-prime.
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