Factors of 2002 are integers that can be divided evenly into 2002. There are 16 factors of 2002 of which 2002 itself is the biggest factor and its prime factors are 2, 7, 11, 13 The Prime Factorization of 2002 is 2¹ × 7¹ × 11¹ × 13¹.

• All Factors of 2002: 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001 and 2002
• Prime Factors of 2002: 2, 7, 11, 13
• Prime Factorization of 2002: 2¹ × 7¹ × 11¹ × 13¹
• Sum of Factors of 2002: 4032

1.	What Are the Factors of 2002?
2.	Factors of 2002 by Prime Factorization
3.	Factors of 2002 in Pairs
4.	FAQs on Factors of 2002

Factors of 2002 are pairs of those numbers whose products result in 2002. These factors are either prime numbers or composite numbers.

How to Find the Factors of 2002?

To find the factors of 2002, we will have to find the list of numbers that would divide 2002 without leaving any remainder.

• 2002/26 = 77; therefore, 26 is a factor of 2002 and 77 is also a factor of 2002.
• 2002/154 = 13; therefore, 154 is a factor of 2002 and 13 is also a factor of 2002.

Similarly we can find other factors. Hence, the factors of 2002 are 1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, 2002.

☛ Also Check:

• Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99
• Factors of 51 - The factors of 51 are 1, 3, 17, 51
• Factors of 31 - The factors of 31 are 1, 31
• Factors of 33 - The factors of 33 are 1, 3, 11, 33
• Factors of 26 - The factors of 26 are 1, 2, 13, 26

The number 2002 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 2002. The first step is to divide the number 2002 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 2002 ÷ 2 = 1001

Further dividing 1001 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 1001 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 2002 can be written as 2¹ × 7¹ × 11¹ × 13¹ where 2, 7, 11, 13 are prime.

Pair factors of 2002 are the pairs of numbers that when multiplied give the product 2002. The factors of 2002 in pairs are:

• 1 × 2002 = (1, 2002)
• 2 × 1001 = (2, 1001)
• 7 × 286 = (7, 286)
• 11 × 182 = (11, 182)
• 13 × 154 = (13, 154)
• 14 × 143 = (14, 143)
• 22 × 91 = (22, 91)
• 26 × 77 = (26, 77)

Negative pair factors of 2002 are:

• -1 × -2002 = (-1, -2002)
• -2 × -1001 = (-2, -1001)
• -7 × -286 = (-7, -286)
• -11 × -182 = (-11, -182)
• -13 × -154 = (-13, -154)
• -14 × -143 = (-14, -143)
• -22 × -91 = (-22, -91)
• -26 × -77 = (-26, -77)

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