Factors of 184
Factors of 184 are integers that can be divided evenly into 184. There are overall 8 factors of 184 i.e. 1, 2, 4, 8, 23, 46, 92, 184 where 184 is the biggest factor. The Pair Factors of 184 are (1, 184), (2, 92), (4, 46), (8, 23) and its Prime Factors are 2 × 23.
- All Factors of 184: 1, 2, 4, 8, 23, 46, 92 and 184
- Negative Factors of 184: -1, -2, -4, -8, -23, -46, -92 and -184
- Prime Factors of 184: 2, 23
- Prime Factorization of 184: 23 × 231
- Sum of Factors of 184: 360
1. | What Are the Factors of 184? |
2. | Factors of 184 by Prime Factorization |
3. | Factors of 184 in Pairs |
4. | FAQs on Factors of 184 |
What are Factors of 184?
Factors of 184 are pairs of those numbers whose products result in 184. These factors are either prime numbers or composite numbers.
How to Find the Factors of 184?
To find the factors of 184, we will have to find the list of numbers that would divide 184 without leaving any remainder.
- 184/1 = 184; therefore, 1 is a factor of 184.
- 184/4 = 46; therefore, 4 is a factor of 184.
☛ Also Check:
- Factors of 70 - The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
- Factors of 5 - The factors of 5 are 1, 5
- Factors of 23 - The factors of 23 are 1, 23
- Factors of 9 - The factors of 9 are 1, 3, 9
- Factors of 52 - The factors of 52 are 1, 2, 4, 13, 26, 52
Factors of 184 by Prime Factorization
- 184 ÷ 2 = 92
- 92 ÷ 2 = 46
- 46 ÷ 2 = 23
Further dividing 23 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 23 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 184 can be written as 23 × 231 where 2, 23 are prime.
Factors of 184 in Pairs
Pair factors of 184 are the pairs of numbers that when multiplied give the product 184. The factors of 184 in pairs are:
- 1 × 184 = (1, 184)
- 2 × 92 = (2, 92)
- 4 × 46 = (4, 46)
- 8 × 23 = (8, 23)
Negative pair factors of 184 are:
- -1 × -184 = (-1, -184)
- -2 × -92 = (-2, -92)
- -4 × -46 = (-4, -46)
- -8 × -23 = (-8, -23)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 184 Solved Examples
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Example 1: How many factors are there for 184?
Solution:
The factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184. Therefore, 184 has 8 factors.
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Example 2: Find the LCM and Greatest Common Factor (GCF) of 184 and 20.
Solution:
The factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184 and factors of 20 are 1, 2, 4, 5, 10, 20.
Therefore, the LCM of 184 and 20 is 920 and Greatest Common Factor (GCF) of 184 and 20 is 4. -
Example 3: Find if 8, 22, 23, 92 and 184 are factors of 184.
Solution:
When we divide 184 by 22 it leaves a remainder. Therefore, the number 22 is not a factor of 184. All numbers except 22 are factors of 184.
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Example 4: Find the product of all the prime factors of 184.
Solution:
Since, the prime factors of 184 are 2, 23. Therefore, the product of prime factors = 2 × 23 = 46.
FAQs on Factors of 184
What are the Factors of 184?
The factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184 and its negative factors are -1, -2, -4, -8, -23, -46, -92, -184.
What is the Sum of all the Factors of 184?
Sum of all factors of 184 = (23 + 1 - 1)/(2 - 1) × (231 + 1 - 1)/(23 - 1) = 360
What are the Pair Factors of 184?
The pair factors of 184 are (1, 184), (2, 92), (4, 46), (8, 23).
What is the Greatest Common Factor of 184 and 147?
The factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184 and the factors of 147 are 1, 3, 7, 21, 49, 147. 184 and 147 have only one common factor which is 1. This implies that 184 and 147 are co-prime.
Hence, the Greatest Common Factor (GCF) of 184 and 147 is 1.
How Many Factors of 57 are also common to the Factors of 184?
Since, the factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184 and factors of 57 are 1, 3, 19, 57. Hence, 184 and 57 have only one common factor which is 1. Therefore, 184 and 57 are co-prime.
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