Factors of 1002 are the list of integers that we can split evenly into 1002. There are 8 factors of 1002, which are 1, 2, 3, 6, 167, 334, 501, 1002. Here, 1002 is the biggest factor. The sum of all factors of 1002 is 2016. Its Prime Factors are 2 × 3 × 167 and (1, 1002), (2, 501), (3, 334), (6, 167) are Pair Factors.

• All Factors of 1002: 1, 2, 3, 6, 167, 334, 501 and 1002
• Negative Factors of 1002: -1, -2, -3, -6, -167, -334, -501 and -1002
• Prime Factors of 1002: 2, 3, 167
• Prime Factorization of 1002: 2¹ × 3¹ × 167¹
• Sum of Factors of 1002: 2016

1.	What Are the Factors of 1002?
2.	Factors of 1002 by Prime Factorization
3.	Factors of 1002 in Pairs
4.	FAQs on Factors of 1002

Factors of 1002 are pairs of those numbers whose products result in 1002. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1002?

To find the factors of 1002, we will have to find the list of numbers that would divide 1002 without leaving any remainder.

• 1002/3 = 334; therefore, 3 is a factor of 1002 and 334 is also a factor of 1002.
• 1002/167 = 6; therefore, 167 is a factor of 1002 and 6 is also a factor of 1002.

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

☛ Also Check:

• Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45
• Factors of 91 - The factors of 91 are 1, 7, 13, 91
• Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81

The number 1002 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1002. The first step is to divide the number 1002 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 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 1002 can be written as 2¹ × 3¹ × 167¹ where 2, 3, 167 are prime.

Pair factors of 1002 are the pairs of numbers that when multiplied give the product 1002. The factors of 1002 in pairs are:

• 1 × 1002 = (1, 1002)
• 2 × 501 = (2, 501)
• 3 × 334 = (3, 334)
• 6 × 167 = (6, 167)

Negative pair factors of 1002 are:

• -1 × -1002 = (-1, -1002)
• -2 × -501 = (-2, -501)
• -3 × -334 = (-3, -334)
• -6 × -167 = (-6, -167)

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