Factors of 2004 are integers that can be divided evenly into 2004. It has total 12 factors of which 2004 is the biggest factor and the prime factors of 2004 are 2, 3, 167. The sum of all factors of 2004 is 4704.

• All Factors of 2004: 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002 and 2004
• Prime Factors of 2004: 2, 3, 167
• Prime Factorization of 2004: 2² × 3¹ × 167¹
• Sum of Factors of 2004: 4704

1.	What Are the Factors of 2004?
2.	Factors of 2004 by Prime Factorization
3.	Factors of 2004 in Pairs
4.	FAQs on Factors of 2004

Factors of 2004 are pairs of those numbers whose products result in 2004. These factors are either prime numbers or composite numbers.

How to Find the Factors of 2004?

To find the factors of 2004, we will have to find the list of numbers that would divide 2004 without leaving any remainder.

• 2004/668 = 3; therefore, 668 is a factor of 2004 and 3 is also a factor of 2004.
• 2004/12 = 167; therefore, 12 is a factor of 2004 and 167 is also a factor of 2004.

Similarly we can find other factors. Hence, the factors of 2004 are 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 2004.

☛ Also Check:

• Factors of 55 - The factors of 55 are 1, 5, 11, 55
• Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
• Factors of 41 - The factors of 41 are 1, 41
• Factors of 10 - The factors of 10 are 1, 2, 5, 10
• Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

The number 2004 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 2004. The first step is to divide the number 2004 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 2004 ÷ 2 = 1002
• 1002 ÷ 2 = 501

Further dividing 501 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 501 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 2004 can be written as 2² × 3¹ × 167¹ where 2, 3, 167 are prime.

Pair factors of 2004 are the pairs of numbers that when multiplied give the product 2004. The factors of 2004 in pairs are:

• 1 × 2004 = (1, 2004)
• 2 × 1002 = (2, 1002)
• 3 × 668 = (3, 668)
• 4 × 501 = (4, 501)
• 6 × 334 = (6, 334)
• 12 × 167 = (12, 167)

Negative pair factors of 2004 are:

• -1 × -2004 = (-1, -2004)
• -2 × -1002 = (-2, -1002)
• -3 × -668 = (-3, -668)
• -4 × -501 = (-4, -501)
• -6 × -334 = (-6, -334)
• -12 × -167 = (-12, -167)

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