Factors of 2007 are integers that can be divided evenly into 2007. It has a total of 6 factors of which 2007 is the biggest factor and the positive factors of 2007 are 1, 3, 9, 223, 669, 2007. The Prime Factors of 2007 are 3 × 223 and its Factors in Pairs are (1, 2007), (3, 669), (9, 223).

• All Factors of 2007: 1, 3, 9, 223, 669 and 2007
• Negative Factors of 2007: -1, -3, -9, -223, -669 and -2007
• Prime Factors of 2007: 3, 223
• Prime Factorization of 2007: 3² × 223¹
• Sum of Factors of 2007: 2912

1.	What Are the Factors of 2007?
2.	Factors of 2007 by Prime Factorization
3.	Factors of 2007 in Pairs
4.	FAQs on Factors of 2007

Factors of 2007 are pairs of those numbers whose products result in 2007. These factors are either prime numbers or composite numbers.

How to Find the Factors of 2007?

To find the factors of 2007, we will have to find the list of numbers that would divide 2007 without leaving any remainder.

• 2007/1 = 2007; therefore, 1 is a factor of 2007.
• 2007/223 = 9; therefore, 223 is a factor of 2007.

Similarly we can find other factors. Hence, the factors of 2007 are 1, 3, 9, 223, 669, 2007.

☛ Also Check:

• Factors of 91 - The factors of 91 are 1, 7, 13, 91
• Factors of 121 - The factors of 121 are 1, 11, 121
• Factors of 55 - The factors of 55 are 1, 5, 11, 55
• Factors of 15 - The factors of 15 are 1, 3, 5, 15
• Factors of 56 - The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56

The number 2007 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 2007. The first step is to divide the number 2007 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 2007 ÷ 3 = 669
• 669 ÷ 3 = 223

Further dividing 223 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 223 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 2007 can be written as 3² × 223¹ where 3, 223 are prime.

Pair factors of 2007 are the pairs of numbers that when multiplied give the product 2007. The factors of 2007 in pairs are:

• 1 × 2007 = (1, 2007)
• 3 × 669 = (3, 669)
• 9 × 223 = (9, 223)

Negative pair factors of 2007 are:

• -1 × -2007 = (-1, -2007)
• -3 × -669 = (-3, -669)
• -9 × -223 = (-9, -223)

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