Factors of 1085 are the list of integers that we can split evenly into 1085. There are total 8 factors of 1085 i.e. 1, 5, 7, 31, 35, 155, 217, 1085. The sum of all factors of 1085 is 1536. Its Prime Factors are 5 × 7 × 31 and (1, 1085), (5, 217), (7, 155), (31, 35) are Pair Factors.

• All Factors of 1085: 1, 5, 7, 31, 35, 155, 217 and 1085
• Negative Factors of 1085: -1, -5, -7, -31, -35, -155, -217 and -1085
• Prime Factors of 1085: 5, 7, 31
• Prime Factorization of 1085: 5¹ × 7¹ × 31¹
• Sum of Factors of 1085: 1536

1.	What Are the Factors of 1085?
2.	Factors of 1085 by Prime Factorization
3.	Factors of 1085 in Pairs
4.	FAQs on Factors of 1085

Factors of 1085 are pairs of those numbers whose products result in 1085. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1085?

To find the factors of 1085, we will have to find the list of numbers that would divide 1085 without leaving any remainder.

• 1085/155 = 7; therefore, 155 is a factor of 1085 and 7 is also a factor of 1085.
• 1085/31 = 35; therefore, 31 is a factor of 1085 and 35 is also a factor of 1085.

Similarly we can find other factors. Hence, the factors of 1085 are 1, 5, 7, 31, 35, 155, 217, 1085.

☛ Also Check:

• Factors of 5 - The factors of 5 are 1, 5
• Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
• Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
• Factors of 7 - The factors of 7 are 1, 7
• Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75

The number 1085 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1085. The first step is to divide the number 1085 with the smallest prime factor, here it is 5. We keep dividing until it gives a non-zero remainder.

• 1085 ÷ 5 = 217

Further dividing 217 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 217 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 1085 can be written as 5¹ × 7¹ × 31¹ where 5, 7, 31 are prime.

Pair factors of 1085 are the pairs of numbers that when multiplied give the product 1085. The factors of 1085 in pairs are:

• 1 × 1085 = (1, 1085)
• 5 × 217 = (5, 217)
• 7 × 155 = (7, 155)
• 31 × 35 = (31, 35)

Negative pair factors of 1085 are:

• -1 × -1085 = (-1, -1085)
• -5 × -217 = (-5, -217)
• -7 × -155 = (-7, -155)
• -31 × -35 = (-31, -35)

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