Factors of 2001 are the list of integers that we can split evenly into 2001. It has a total of 8 factors of which 2001 is the biggest factor and the positive factors of 2001 are 1, 3, 23, 29, 69, 87, 667, 2001. The sum of all factors of 2001 is 2880. Its Prime Factors are 3 × 23 × 29 and (1, 2001), (3, 667), (23, 87), (29, 69) are Pair Factors.

• All Factors of 2001: 1, 3, 23, 29, 69, 87, 667 and 2001
• Negative Factors of 2001: -1, -3, -23, -29, -69, -87, -667 and -2001
• Prime Factors of 2001: 3, 23, 29
• Prime Factorization of 2001: 3¹ × 23¹ × 29¹
• Sum of Factors of 2001: 2880

1.	What Are the Factors of 2001?
2.	Factors of 2001 by Prime Factorization
3.	Factors of 2001 in Pairs
4.	FAQs on Factors of 2001

Factors of 2001 are pairs of those numbers whose products result in 2001. These factors are either prime numbers or composite numbers.

How to Find the Factors of 2001?

To find the factors of 2001, we will have to find the list of numbers that would divide 2001 without leaving any remainder.

• 2001/23 = 87; therefore, 23 is a factor of 2001 and 87 is also a factor of 2001.
• 2001/69 = 29; therefore, 69 is a factor of 2001 and 29 is also a factor of 2001.

Similarly we can find other factors. Hence, the factors of 2001 are 1, 3, 23, 29, 69, 87, 667, 2001.

☛ Also Check:

• Factors of 21 - The factors of 21 are 1, 3, 7, 21
• Factors of 52 - The factors of 52 are 1, 2, 4, 13, 26, 52
• Factors of 4 - The factors of 4 are 1, 2, 4
• Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45
• Factors of 35 - The factors of 35 are 1, 5, 7, 35

The number 2001 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 2001. The first step is to divide the number 2001 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 2001 ÷ 3 = 667

Further dividing 667 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 667 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 2001 can be written as 3¹ × 23¹ × 29¹ where 3, 23, 29 are prime.

Pair factors of 2001 are the pairs of numbers that when multiplied give the product 2001. The factors of 2001 in pairs are:

• 1 × 2001 = (1, 2001)
• 3 × 667 = (3, 667)
• 23 × 87 = (23, 87)
• 29 × 69 = (29, 69)

Negative pair factors of 2001 are:

• -1 × -2001 = (-1, -2001)
• -3 × -667 = (-3, -667)
• -23 × -87 = (-23, -87)
• -29 × -69 = (-29, -69)

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