Factors of 255 are numbers that, when multiplied in pairs give the product as 255. There are overall 8 factors of 255 i.e. 1, 3, 5, 15, 17, 51, 85, 255 where 255 is the biggest factor. The Prime Factors and Pair Factors of 255 are 3 × 5 × 17 and (1, 255), (3, 85), (5, 51), (15, 17) respectively.

• All Factors of 255: 1, 3, 5, 15, 17, 51, 85 and 255
• Negative Factors of 255: -1, -3, -5, -15, -17, -51, -85 and -255
• Prime Factors of 255: 3, 5, 17
• Prime Factorization of 255: 3¹ × 5¹ × 17¹
• Sum of Factors of 255: 432

1.	What Are the Factors of 255?
2.	Factors of 255 by Prime Factorization
3.	Factors of 255 in Pairs
4.	FAQs on Factors of 255

Factors of 255 are pairs of those numbers whose products result in 255. These factors are either prime numbers or composite numbers.

How to Find the Factors of 255?

To find the factors of 255, we will have to find the list of numbers that would divide 255 without leaving any remainder.

• 255/255 = 1; therefore, 255 is a factor of 255.
• 255/5 = 51; therefore, 5 is a factor of 255.

Similarly we can find other factors. Hence, the factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255.

☛ Also Check:

• Factors of 49 - The factors of 49 are 1, 7, 49
• Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
• Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75
• Factors of 41 - The factors of 41 are 1, 41
• Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The number 255 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 255. The first step is to divide the number 255 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 255 ÷ 3 = 85

Further dividing 85 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 85 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 255 can be written as 3¹ × 5¹ × 17¹ where 3, 5, 17 are prime.

Pair factors of 255 are the pairs of numbers that when multiplied give the product 255. The factors of 255 in pairs are:

• 1 × 255 = (1, 255)
• 3 × 85 = (3, 85)
• 5 × 51 = (5, 51)
• 15 × 17 = (15, 17)

Negative pair factors of 255 are:

• -1 × -255 = (-1, -255)
• -3 × -85 = (-3, -85)
• -5 × -51 = (-5, -51)
• -15 × -17 = (-15, -17)

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