Factors of 377
Factors of 377 are numbers that, when multiplied in pairs give the product as 377. There are 4 factors of 377 of which 377 itself is the biggest factor and its positive factors are 1, 13, 29, 377. The Pair Factors of 377 are (1, 377), (13, 29) and its Prime Factors are 13 × 29.
- All Factors of 377: 1, 13, 29 and 377
- Negative Factors of 377: -1, -13, -29 and -377
- Prime Factors of 377: 13, 29
- Prime Factorization of 377: 131 × 291
- Sum of Factors of 377: 420
1. | What Are the Factors of 377? |
2. | Factors of 377 by Prime Factorization |
3. | Factors of 377 in Pairs |
4. | FAQs on Factors of 377 |

What are Factors of 377?
Factors of 377 are pairs of those numbers whose products result in 377. These factors are either prime numbers or composite numbers.
How to Find the Factors of 377?
To find the factors of 377, we will have to find the list of numbers that would divide 377 without leaving any remainder.
- 377/13 = 29; therefore, 13 is a factor of 377 and 29 is also a factor of 377.
- 377/1 = 377; therefore, 1 is a factor of 377 and 377 is also a factor of 377.
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Factors of 377 by Prime Factorization
- 377 ÷ 13 = 29
Further dividing 29 by 13 gives a non-zero remainder. So we stop the process and continue dividing the number 29 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 377 can be written as 131 × 291 where 13, 29 are prime.
Factors of 377 in Pairs
Pair factors of 377 are the pairs of numbers that when multiplied give the product 377. The factors of 377 in pairs are:
- 1 × 377 = (1, 377)
- 13 × 29 = (13, 29)
Negative pair factors of 377 are:
- -1 × -377 = (-1, -377)
- -13 × -29 = (-13, -29)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 377 Solved Examples
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Example 1: How many factors are there for 377?
Solution:
The factors of 377 are 1, 13, 29, 377. Therefore, 377 has 4 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Divisor (GCD) of 377 and 254.
Solution:
The factors of 377 are 1, 13, 29, 377 and factors of 254 are 1, 2, 127, 254.
Therefore, the Least Common Multiple of 377 and 254 is 95758 and Greatest Common Divisor (GCD) of 377 and 254 is 1. -
Example 3: Find if 1, 29 and 175 are factors of 377.
Solution:
When we divide 377 by 175 it leaves a remainder. Therefore, the number 175 is not a factor of 377. All numbers except 175 are factors of 377.
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Example 4: Find the product of all the prime factors of 377.
Solution:
Since, the prime factors of 377 are 13, 29. Therefore, the product of prime factors = 13 × 29 = 377.
FAQs on Factors of 377
What are the Factors of 377?
The factors of 377 are 1, 13, 29, 377 and its negative factors are -1, -13, -29, -377.
What is the Sum of Factors of 377?
Since, all factors of 377 are 1, 13, 29, 377 therefore, the sum of its factors is 1 + 13 + 29 + 377 = 420.
What are Prime Factors of 377?
The prime factors of 377 are 13, 29.
What is the Greatest Common Factor of 377 and 302?
The factors of 377 are 1, 13, 29, 377 and the factors of 302 are 1, 2, 151, 302. 377 and 302 have only one common factor which is 1. This implies that 377 and 302 are co-prime.
Hence, the Greatest Common Factor (GCF) of 377 and 302 is 1.
How Many Factors of 65 are also common to the Factors of 377?
Since, the factors of 377 are 1, 13, 29, 377 and the factors of 65 are 1, 5, 13, 65.
Hence, [1, 13] are the common factors of 377 and 65.
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