Factors of 301 are the list of integers that we can split evenly into 301. There are total 4 factors of 301 i.e. 1, 7, 43, 301. The sum of all factors of 301 is 352 and its factors in Pairs are (1, 301), (7, 43).

• All Factors of 301: 1, 7, 43 and 301
• Negative Factors of 301: -1, -7, -43 and -301
• Prime Factors of 301: 7, 43
• Prime Factorization of 301: 7¹ × 43¹
• Sum of Factors of 301: 352

1.	What Are the Factors of 301?
2.	Factors of 301 by Prime Factorization
3.	Factors of 301 in Pairs
4.	FAQs on Factors of 301

Factors of 301 are pairs of those numbers whose products result in 301. These factors are either prime numbers or composite numbers.

How to Find the Factors of 301?

To find the factors of 301, we will have to find the list of numbers that would divide 301 without leaving any remainder.

• 301/7 = 43; therefore, 7 is a factor of 301 and 43 is also a factor of 301.
• 301/1 = 301; therefore, 1 is a factor of 301 and 301 is also a factor of 301.

Similarly we can find other factors. Hence, the factors of 301 are 1, 7, 43, 301.

☛ Also Check:

• Factors of 39 - The factors of 39 are 1, 3, 13, 39
• Factors of 16 - The factors of 16 are 1, 2, 4, 8, 16
• Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
• Factors of 51 - The factors of 51 are 1, 3, 17, 51
• Factors of 55 - The factors of 55 are 1, 5, 11, 55

The number 301 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 301. The first step is to divide the number 301 with the smallest prime factor, here it is 7. We keep dividing until it gives a non-zero remainder.

• 301 ÷ 7 = 43

Further dividing 43 by 7 gives a non-zero remainder. So we stop the process and continue dividing the number 43 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 301 can be written as 7¹ × 43¹ where 7, 43 are prime.

Pair factors of 301 are the pairs of numbers that when multiplied give the product 301. The factors of 301 in pairs are:

• 1 × 301 = (1, 301)
• 7 × 43 = (7, 43)

Negative pair factors of 301 are:

• -1 × -301 = (-1, -301)
• -7 × -43 = (-7, -43)

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