Factors of 1105 are integers that can be divided evenly into 1105. There are overall 8 factors of 1105 among which 1105 is the biggest factor and its positive factors are 1, 5, 13, 17, 65, 85, 221, 1105. The Prime Factors of 1105 are 5 × 13 × 17 and its Factors in Pairs are (1, 1105), (5, 221), (13, 85), (17, 65).

• All Factors of 1105: 1, 5, 13, 17, 65, 85, 221 and 1105
• Negative Factors of 1105: -1, -5, -13, -17, -65, -85, -221 and -1105
• Prime Factors of 1105: 5, 13, 17
• Prime Factorization of 1105: 5¹ × 13¹ × 17¹
• Sum of Factors of 1105: 1512

1.	What Are the Factors of 1105?
2.	Factors of 1105 by Prime Factorization
3.	Factors of 1105 in Pairs
4.	FAQs on Factors of 1105

Factors of 1105 are pairs of those numbers whose products result in 1105. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1105?

To find the factors of 1105, we will have to find the list of numbers that would divide 1105 without leaving any remainder.

• 1105/65 = 17; therefore, 65 is a factor of 1105 and 17 is also a factor of 1105.
• 1105/85 = 13; therefore, 85 is a factor of 1105 and 13 is also a factor of 1105.

Similarly we can find other factors. Hence, the factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105.

☛ Also Check:

• Factors of 33 - The factors of 33 are 1, 3, 11, 33
• Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
• Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
• Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99
• Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

The number 1105 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1105. The first step is to divide the number 1105 with the smallest prime factor, here it is 5. We keep dividing until it gives a non-zero remainder.

• 1105 ÷ 5 = 221

Further dividing 221 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 221 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 1105 can be written as 5¹ × 13¹ × 17¹ where 5, 13, 17 are prime.

Pair factors of 1105 are the pairs of numbers that when multiplied give the product 1105. The factors of 1105 in pairs are:

• 1 × 1105 = (1, 1105)
• 5 × 221 = (5, 221)
• 13 × 85 = (13, 85)
• 17 × 65 = (17, 65)

Negative pair factors of 1105 are:

• -1 × -1105 = (-1, -1105)
• -5 × -221 = (-5, -221)
• -13 × -85 = (-13, -85)
• -17 × -65 = (-17, -65)

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