Factors of 2005 are the list of integers that we can split evenly into 2005. There are overall 4 factors of 2005 among which 2005 is the biggest factor and its positive factors are 1, 5, 401, 2005. The sum of all factors of 2005 is 2412 and its factors in Pairs are (1, 2005), (5, 401).

• All Factors of 2005: 1, 5, 401 and 2005
• Negative Factors of 2005: -1, -5, -401 and -2005
• Prime Factors of 2005: 5, 401
• Prime Factorization of 2005: 5¹ × 401¹
• Sum of Factors of 2005: 2412

1.	What Are the Factors of 2005?
2.	Factors of 2005 by Prime Factorization
3.	Factors of 2005 in Pairs
4.	FAQs on Factors of 2005

Factors of 2005 are pairs of those numbers whose products result in 2005. These factors are either prime numbers or composite numbers.

How to Find the Factors of 2005?

To find the factors of 2005, we will have to find the list of numbers that would divide 2005 without leaving any remainder.

• 2005/5 = 401; therefore, 5 is a factor of 2005 and 401 is also a factor of 2005.
• 2005/1 = 2005; therefore, 1 is a factor of 2005 and 2005 is also a factor of 2005.

Similarly we can find other factors. Hence, the factors of 2005 are 1, 5, 401, 2005.

☛ Also Check:

• Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45
• Factors of 41 - The factors of 41 are 1, 41
• Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
• Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
• Factors of 13 - The factors of 13 are 1, 13

The number 2005 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 2005. The first step is to divide the number 2005 with the smallest prime factor, here it is 5. We keep dividing until it gives a non-zero remainder.

• 2005 ÷ 5 = 401

Further dividing 401 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 401 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 2005 can be written as 5¹ × 401¹ where 5, 401 are prime.

Pair factors of 2005 are the pairs of numbers that when multiplied give the product 2005. The factors of 2005 in pairs are:

• 1 × 2005 = (1, 2005)
• 5 × 401 = (5, 401)

Negative pair factors of 2005 are:

• -1 × -2005 = (-1, -2005)
• -5 × -401 = (-5, -401)

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