Factors of 305 are the list of integers that can be evenly divided into 305. There are overall 4 factors of 305 among which 305 is the biggest factor and 1, 5, 61, 305 are positive factors. The sum of all factors of 305 is 372 and its factors in Pairs are (1, 305), (5, 61).

• All Factors of 305: 1, 5, 61 and 305
• Negative Factors of 305: -1, -5, -61 and -305
• Prime Factors of 305: 5, 61
• Prime Factorization of 305: 5¹ × 61¹
• Sum of Factors of 305: 372

1.	What Are the Factors of 305?
2.	Factors of 305 by Prime Factorization
3.	Factors of 305 in Pairs
4.	FAQs on Factors of 305

Factors of 305 are pairs of those numbers whose products result in 305. These factors are either prime numbers or composite numbers.

How to Find the Factors of 305?

To find the factors of 305, we will have to find the list of numbers that would divide 305 without leaving any remainder.

• 305/5 = 61; therefore, 5 is a factor of 305 and 61 is also a factor of 305.
• 305/1 = 305; therefore, 1 is a factor of 305 and 305 is also a factor of 305.

Similarly we can find other factors. Hence, the factors of 305 are 1, 5, 61, 305.

☛ Also Check:

• Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 35 - The factors of 35 are 1, 5, 7, 35
• Factors of 14 - The factors of 14 are 1, 2, 7, 14
• Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
• Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28

The number 305 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 305. The first step is to divide the number 305 with the smallest prime factor, here it is 5. We keep dividing until it gives a non-zero remainder.

• 305 ÷ 5 = 61

Further dividing 61 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 61 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 305 can be written as 5¹ × 61¹ where 5, 61 are prime.

Pair factors of 305 are the pairs of numbers that when multiplied give the product 305. The factors of 305 in pairs are:

• 1 × 305 = (1, 305)
• 5 × 61 = (5, 61)

Negative pair factors of 305 are:

• -1 × -305 = (-1, -305)
• -5 × -61 = (-5, -61)

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