Factors of 374
Factors of 374 are the list of integers that can be evenly divided into 374. There are 8 factors of 374 of which 374 itself is the biggest factor and its positive factors are 1, 2, 11, 17, 22, 34, 187, 374. The Prime Factors and Pair Factors of 374 are 2 × 11 × 17 and (1, 374), (2, 187), (11, 34), (17, 22) respectively.
- All Factors of 374: 1, 2, 11, 17, 22, 34, 187 and 374
- Negative Factors of 374: -1, -2, -11, -17, -22, -34, -187 and -374
- Prime Factors of 374: 2, 11, 17
- Prime Factorization of 374: 21 × 111 × 171
- Sum of Factors of 374: 648
1. | What Are the Factors of 374? |
2. | Factors of 374 by Prime Factorization |
3. | Factors of 374 in Pairs |
4. | FAQs on Factors of 374 |

What are Factors of 374?
Factors of 374 are pairs of those numbers whose products result in 374. These factors are either prime numbers or composite numbers.
How to Find the Factors of 374?
To find the factors of 374, we will have to find the list of numbers that would divide 374 without leaving any remainder.
- 374/1 = 374; therefore, 1 is a factor of 374.
- 374/187 = 2; therefore, 187 is a factor of 374.
☛ Also Check:
- Factors of 180 - The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
- Factors of 25 - The factors of 25 are 1, 5, 25
- Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45
- Factors of 40 - The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
- Factors of 31 - The factors of 31 are 1, 31
Factors of 374 by Prime Factorization
- 374 ÷ 2 = 187
Further dividing 187 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 187 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 374 can be written as 21 × 111 × 171 where 2, 11, 17 are prime.
Factors of 374 in Pairs
Pair factors of 374 are the pairs of numbers that when multiplied give the product 374. The factors of 374 in pairs are:
- 1 × 374 = (1, 374)
- 2 × 187 = (2, 187)
- 11 × 34 = (11, 34)
- 17 × 22 = (17, 22)
Negative pair factors of 374 are:
- -1 × -374 = (-1, -374)
- -2 × -187 = (-2, -187)
- -11 × -34 = (-11, -34)
- -17 × -22 = (-17, -22)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 374 Solved Examples
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Example 1: How many factors are there for 374?
Solution:
The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374. Therefore, 374 has 8 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 374 and 343.
Solution:
The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374 and factors of 343 are 1, 7, 49, 343.
Therefore, the Lowest Common Multiple (LCM) of 374 and 343 is 128282 and Greatest Common Divisor (GCD) of 374 and 343 is 1. -
Example 3: Find if 1, 2, 34, 187 and 191 are factors of 374.
Solution:
When we divide 374 by 191 it leaves a remainder. Therefore, the number 191 is not a factor of 374. All numbers except 191 are factors of 374.
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Example 4: Find the product of all the prime factors of 374.
Solution:
Since, the prime factors of 374 are 2, 11, 17. Therefore, the product of prime factors = 2 × 11 × 17 = 374.
FAQs on Factors of 374
What are the Factors of 374?
The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374 and its negative factors are -1, -2, -11, -17, -22, -34, -187, -374.
What is the Sum of the Factors of 374?
Sum of all factors of 374 = (21 + 1 - 1)/(2 - 1) × (111 + 1 - 1)/(11 - 1) × (171 + 1 - 1)/(17 - 1) = 648
What are the Prime Factors of 374?
The prime factors of 374 are 2, 11, 17.
What is the Greatest Common Factor of 374 and 49?
The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374 and the factors of 49 are 1, 7, 49. 374 and 49 have only one common factor which is 1. This implies that 374 and 49 are co-prime.
Hence, the Greatest Common Factor (GCF) of 374 and 49 is 1.
What are the Common Factors of 374 and 150?
Since, the factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374 and the factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150.
Hence, [1, 2] are the common factors of 374 and 150.
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