Factors of 334
Factors of 334 are the list of integers that we can split evenly into 334. There are total 4 factors of 334 i.e. 1, 2, 167, 334. The Prime Factors of 334 are 2 × 167 and its Factors in Pairs are (1, 334), (2, 167).
- All Factors of 334: 1, 2, 167 and 334
- Negative Factors of 334: -1, -2, -167 and -334
- Prime Factors of 334: 2, 167
- Prime Factorization of 334: 21 × 1671
- Sum of Factors of 334: 504
1. | What Are the Factors of 334? |
2. | Factors of 334 by Prime Factorization |
3. | Factors of 334 in Pairs |
4. | FAQs on Factors of 334 |

What are Factors of 334?
Factors of 334 are pairs of those numbers whose products result in 334. These factors are either prime numbers or composite numbers.
How to Find the Factors of 334?
To find the factors of 334, we will have to find the list of numbers that would divide 334 without leaving any remainder.
- 334/167 = 2; therefore, 167 is a factor of 334 and 2 is also a factor of 334.
- 334/1 = 334; therefore, 1 is a factor of 334 and 334 is also a factor of 334.
☛ Also Check:
- Factors of 23 - The factors of 23 are 1, 23
- Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
- Factors of 15 - The factors of 15 are 1, 3, 5, 15
- Factors of 39 - The factors of 39 are 1, 3, 13, 39
- Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Factors of 334 by Prime Factorization
- 334 ÷ 2 = 167
Further dividing 167 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 167 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 334 can be written as 21 × 1671 where 2, 167 are prime.
Factors of 334 in Pairs
Pair factors of 334 are the pairs of numbers that when multiplied give the product 334. The factors of 334 in pairs are:
- 1 × 334 = (1, 334)
- 2 × 167 = (2, 167)
Negative pair factors of 334 are:
- -1 × -334 = (-1, -334)
- -2 × -167 = (-2, -167)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 334 Solved Examples
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Example 1: How many factors are there for 334?
Solution:
The factors of 334 are 1, 2, 167, 334. Therefore, 334 has 4 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 334 and 180.
Solution:
The factors of 334 are 1, 2, 167, 334 and factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180.
Therefore, the Least Common Multiple of 334 and 180 is 30060 and Greatest Common Factor (GCF) of 334 and 180 is 2. -
Example 3: Find if 2, 15 and 334 are factors of 334.
Solution:
When we divide 334 by 15 it leaves a remainder. Therefore, the number 15 is not a factor of 334. All numbers except 15 are factors of 334.
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Example 4: Find the product of all the prime factors of 334.
Solution:
Since, the prime factors of 334 are 2, 167. Therefore, the product of prime factors = 2 × 167 = 334.
FAQs on Factors of 334
What are the Factors of 334?
The factors of 334 are 1, 2, 167, 334 and its negative factors are -1, -2, -167, -334.
What is the Sum of all Factors of 334?
All the Factors of 334 are 1, 2, 167, 334 and therefore the sum of all these factors is 1 + 2 + 167 + 334 = 504
What numbers are the Pair Factors of 334?
The pair factors of 334 are (1, 334), (2, 167).
What is the Greatest Common Factor of 334 and 303?
The factors of 334 are 1, 2, 167, 334 and the factors of 303 are 1, 3, 101, 303. 334 and 303 have only one common factor which is 1. This implies that 334 and 303 are co-prime.
Hence, the Greatest Common Factor (GCF) of 334 and 303 is 1.
How Many Factors of 334 are also Factors of 181?
Since, the factors of 334 are 1, 2, 167, 334 and factors of 181 are 1, 181. Hence, 334 and 181 have only one common factor which is 1. Therefore, 334 and 181 are co-prime.
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