Factors of 304
Factors of 304 are the list of integers that we can split evenly into 304. There are 10 factors of 304, of which the following are its prime factors 2, 19. The Prime Factorization of 304 is 24 × 191.
- All Factors of 304: 1, 2, 4, 8, 16, 19, 38, 76, 152 and 304
- Negative Factors of 304: -1, -2, -4, -8, -16, -19, -38, -76, -152 and -304
- Prime Factors of 304: 2, 19
- Prime Factorization of 304: 24 × 191
- Sum of Factors of 304: 620
1. | What Are the Factors of 304? |
2. | Factors of 304 by Prime Factorization |
3. | Factors of 304 in Pairs |
4. | FAQs on Factors of 304 |

What are Factors of 304?
Factors of 304 are pairs of those numbers whose products result in 304. These factors are either prime numbers or composite numbers.
How to Find the Factors of 304?
To find the factors of 304, we will have to find the list of numbers that would divide 304 without leaving any remainder.
- 304/152 = 2; therefore, 152 is a factor of 304 and 2 is also a factor of 304.
- 304/8 = 38; therefore, 8 is a factor of 304 and 38 is also a factor of 304.
☛ Also Check:
- Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
- Factors of 54 - The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
- Factors of 27 - The factors of 27 are 1, 3, 9, 27
- Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
- Factors of 65 - The factors of 65 are 1, 5, 13, 65
Factors of 304 by Prime Factorization
- 304 ÷ 2 = 152
- 152 ÷ 2 = 76
- 76 ÷ 2 = 38
- 38 ÷ 2 = 19
Further dividing 19 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 19 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 304 can be written as 24 × 191 where 2, 19 are prime.
Factors of 304 in Pairs
Pair factors of 304 are the pairs of numbers that when multiplied give the product 304. The factors of 304 in pairs are:
- 1 × 304 = (1, 304)
- 2 × 152 = (2, 152)
- 4 × 76 = (4, 76)
- 8 × 38 = (8, 38)
- 16 × 19 = (16, 19)
Negative pair factors of 304 are:
- -1 × -304 = (-1, -304)
- -2 × -152 = (-2, -152)
- -4 × -76 = (-4, -76)
- -8 × -38 = (-8, -38)
- -16 × -19 = (-16, -19)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 304 Solved Examples
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Example 1: How many factors are there for 304?
Solution:
The factors of 304 are too many, therefore if we can find the prime factorization of 304, then the total number of factors can be calculated using the formula shown below.
If the prime factorization of the number is ax × by × cz where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1).
Prime Factorization of 304 = 24 × 191
Therefore, the total number of factors are (4 + 1) × (1 + 1) = 5 × 2 = 10 -
Example 2: Find the LCM and Greatest Common Divisor (GCD) of 304 and 196.
Solution:
The factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304 and factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196.
Therefore, the LCM of 304 and 196 is 14896 and Greatest Common Divisor (GCD) of 304 and 196 is 4. -
Example 3: Find if 2, 4, 8, 19, 35 and 304 are factors of 304.
Solution:
When we divide 304 by 35 it leaves a remainder. Therefore, the number 35 is not a factor of 304. All numbers except 35 are factors of 304.
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Example 4: Find the product of all the prime factors of 304.
Solution:
Since, the prime factors of 304 are 2, 19. Therefore, the product of prime factors = 2 × 19 = 38.
FAQs on Factors of 304
What are the Factors of 304?
The factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304 and its negative factors are -1, -2, -4, -8, -16, -19, -38, -76, -152, -304.
What is the Sum of all Factors of 304?
Sum of all factors of 304 = (24 + 1 - 1)/(2 - 1) × (191 + 1 - 1)/(19 - 1) = 620
What are Prime Factors of 304?
The prime factors of 304 are 2, 19.
What is the Greatest Common Factor of 304 and 205?
The factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304 and the factors of 205 are 1, 5, 41, 205. 304 and 205 have only one common factor which is 1. This implies that 304 and 205 are co-prime.
Hence, the Greatest Common Factor (GCF) of 304 and 205 is 1.
How Many Factors of 304 are also Factors of 245?
Since, the factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304 and factors of 245 are 1, 5, 7, 35, 49, 245. Hence, 304 and 245 have only one common factor which is 1. Therefore, 304 and 245 are co-prime.
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