Factors of 371 are integers that can be divided evenly into 371. There are total 4 factors of 371 i.e. 1, 7, 53, 371. The sum of all factors of 371 is 432. Its Prime Factors are 7 × 53 and (1, 371), (7, 53) are Pair Factors.

• All Factors of 371: 1, 7, 53 and 371
• Negative Factors of 371: -1, -7, -53 and -371
• Prime Factors of 371: 7, 53
• Prime Factorization of 371: 7¹ × 53¹
• Sum of Factors of 371: 432

1.	What Are the Factors of 371?
2.	Factors of 371 by Prime Factorization
3.	Factors of 371 in Pairs
4.	FAQs on Factors of 371

Factors of 371 are pairs of those numbers whose products result in 371. These factors are either prime numbers or composite numbers.

How to Find the Factors of 371?

To find the factors of 371, we will have to find the list of numbers that would divide 371 without leaving any remainder.

• 371/7 = 53; therefore, 7 is a factor of 371 and 53 is also a factor of 371.
• 371/1 = 371; therefore, 1 is a factor of 371 and 371 is also a factor of 371.

Similarly we can find other factors. Hence, the factors of 371 are 1, 7, 53, 371.

☛ Also Check:

• Factors of 49 - The factors of 49 are 1, 7, 49
• Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 41 - The factors of 41 are 1, 41
• Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
• Factors of 125 - The factors of 125 are 1, 5, 25, 125

The number 371 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 371. The first step is to divide the number 371 with the smallest prime factor, here it is 7. We keep dividing until it gives a non-zero remainder.

• 371 ÷ 7 = 53

Further dividing 53 by 7 gives a non-zero remainder. So we stop the process and continue dividing the number 53 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 371 can be written as 7¹ × 53¹ where 7, 53 are prime.

Pair factors of 371 are the pairs of numbers that when multiplied give the product 371. The factors of 371 in pairs are:

• 1 × 371 = (1, 371)
• 7 × 53 = (7, 53)

Negative pair factors of 371 are:

• -1 × -371 = (-1, -371)
• -7 × -53 = (-7, -53)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.