Factors of 370
Factors of 370 are integers that can be divided evenly into 370. There are 8 factors of 370 of which 370 itself is the biggest factor and its positive factors are 1, 2, 5, 10, 37, 74, 185, 370. The sum of all factors of 370 is 684. Its Prime Factors are 2 × 5 × 37 and (1, 370), (2, 185), (5, 74), (10, 37) are Pair Factors.
- All Factors of 370: 1, 2, 5, 10, 37, 74, 185 and 370
- Negative Factors of 370: -1, -2, -5, -10, -37, -74, -185 and -370
- Prime Factors of 370: 2, 5, 37
- Prime Factorization of 370: 21 × 51 × 371
- Sum of Factors of 370: 684
1. | What Are the Factors of 370? |
2. | Factors of 370 by Prime Factorization |
3. | Factors of 370 in Pairs |
4. | FAQs on Factors of 370 |

What are Factors of 370?
Factors of 370 are pairs of those numbers whose products result in 370. These factors are either prime numbers or composite numbers.
How to Find the Factors of 370?
To find the factors of 370, we will have to find the list of numbers that would divide 370 without leaving any remainder.
- 370/37 = 10; therefore, 37 is a factor of 370 and 10 is also a factor of 370.
- 370/185 = 2; therefore, 185 is a factor of 370 and 2 is also a factor of 370.
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- Factors of 16 - The factors of 16 are 1, 2, 4, 8, 16
- Factors of 70 - The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
Factors of 370 by Prime Factorization
- 370 ÷ 2 = 185
Further dividing 185 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 185 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 370 can be written as 21 × 51 × 371 where 2, 5, 37 are prime.
Factors of 370 in Pairs
Pair factors of 370 are the pairs of numbers that when multiplied give the product 370. The factors of 370 in pairs are:
- 1 × 370 = (1, 370)
- 2 × 185 = (2, 185)
- 5 × 74 = (5, 74)
- 10 × 37 = (10, 37)
Negative pair factors of 370 are:
- -1 × -370 = (-1, -370)
- -2 × -185 = (-2, -185)
- -5 × -74 = (-5, -74)
- -10 × -37 = (-10, -37)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 370 Solved Examples
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Example 1: How many factors are there for 370?
Solution:
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370. Therefore, 370 has 8 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 370 and 274.
Solution:
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370 and factors of 274 are 1, 2, 137, 274.
Therefore, the Least Common Multiple of 370 and 274 is 50690 and Greatest Common Factor (GCF) of 370 and 274 is 2. -
Example 3: Find if 1, 2, 4, 185 and 370 are factors of 370.
Solution:
When we divide 370 by 4 it leaves a remainder. Therefore, the number 4 is not a factor of 370. All numbers except 4 are factors of 370.
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Example 4: Find the product of all the prime factors of 370.
Solution:
Since, the prime factors of 370 are 2, 5, 37. Therefore, the product of prime factors = 2 × 5 × 37 = 370.
FAQs on Factors of 370
What are the Factors of 370?
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370 and its negative factors are -1, -2, -5, -10, -37, -74, -185, -370.
What is the Sum of Factors of 370?
Sum of all factors of 370 = (21 + 1 - 1)/(2 - 1) × (51 + 1 - 1)/(5 - 1) × (371 + 1 - 1)/(37 - 1) = 684
What are the Prime Factors of 370?
The prime factors of 370 are 2, 5, 37.
What is the Greatest Common Factor of 370 and 225?
The factors of 370 and 225 are 1, 2, 5, 10, 37, 74, 185, 370 and 1, 3, 5, 9, 15, 25, 45, 75, 225 respectively.
Common factors of 370 and 225 are [1, 5].
Hence, the GCF of 370 and 225 is 5.
How Many Factors of 370 are also Factors of 225?
Since, the factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370 and the factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225.
Hence, [1, 5] are the common factors of 370 and 225.
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