Factors of 355 are the list of integers that can be evenly divided into 355. There are 4 factors of 355 of which 355 itself is the biggest factor and its positive factors are 1, 5, 71, 355. The sum of all factors of 355 is 432. Its Prime Factors are 5 × 71 and (1, 355), (5, 71) are Pair Factors.

• All Factors of 355: 1, 5, 71 and 355
• Negative Factors of 355: -1, -5, -71 and -355
• Prime Factors of 355: 5, 71
• Prime Factorization of 355: 5¹ × 71¹
• Sum of Factors of 355: 432

1.	What Are the Factors of 355?
2.	Factors of 355 by Prime Factorization
3.	Factors of 355 in Pairs
4.	FAQs on Factors of 355

Factors of 355 are pairs of those numbers whose products result in 355. These factors are either prime numbers or composite numbers.

How to Find the Factors of 355?

To find the factors of 355, we will have to find the list of numbers that would divide 355 without leaving any remainder.

• 355/5 = 71; therefore, 5 is a factor of 355 and 71 is also a factor of 355.
• 355/355 = 1; therefore, 355 is a factor of 355 and 1 is also a factor of 355.

Similarly we can find other factors. Hence, the factors of 355 are 1, 5, 71, 355.

☛ Also Check:

• Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45
• Factors of 91 - The factors of 91 are 1, 7, 13, 91
• Factors of 56 - The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
• Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
• Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

The number 355 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 355. The first step is to divide the number 355 with the smallest prime factor, here it is 5. We keep dividing until it gives a non-zero remainder.

• 355 ÷ 5 = 71

Further dividing 71 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 71 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 355 can be written as 5¹ × 71¹ where 5, 71 are prime.

Pair factors of 355 are the pairs of numbers that when multiplied give the product 355. The factors of 355 in pairs are:

• 1 × 355 = (1, 355)
• 5 × 71 = (5, 71)

Negative pair factors of 355 are:

• -1 × -355 = (-1, -355)
• -5 × -71 = (-5, -71)

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