Factors of 1002
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: 2^{1} × 3^{1} × 167^{1}
 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 
What are 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.
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Factors of 1002 by Prime Factorization
 1002 ÷ 2 = 501
Further dividing 501 by 2 gives a nonzero 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 2^{1} × 3^{1} × 167^{1} where 2, 3, 167 are prime.
Factors of 1002 in Pairs
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.
Factors of 1002 Solved Examples

Example 1: How many factors are there for 1002?
Solution:
The factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002. Therefore, 1002 has 8 factors.

Example 2: Find the LCM and Highest Common Factor (HCF) of 1002 and 907.
Solution:
The factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002 and factors of 907 are 1, 907.
Therefore, the LCM of 1002 and 907 is 908814 and Highest Common Factor (HCF) of 1002 and 907 is 1. 
Example 3: Find if 1, 2, 3, 167 and 985 are factors of 1002.
Solution:
When we divide 1002 by 985 it leaves a remainder. Therefore, the number 985 is not a factor of 1002. All numbers except 985 are factors of 1002.

Example 4: Find the product of all the prime factors of 1002.
Solution:
Since, the prime factors of 1002 are 2, 3, 167. Therefore, the product of prime factors = 2 × 3 × 167 = 1002.
FAQs on Factors of 1002
What are the Factors of 1002?
The factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002 and its negative factors are 1, 2, 3, 6, 167, 334, 501, 1002.
What is the Sum of all the Factors of 1002?
Sum of all factors of 1002 = (2^{1 + 1}  1)/(2  1) × (3^{1 + 1}  1)/(3  1) × (167^{1 + 1}  1)/(167  1) = 2016
What Numbers are the Prime Factors of 1002?
The prime factors of 1002 are 2, 3, 167.
What is the Greatest Common Factor of 1002 and 654?
The factors of 1002 and 654 are 1, 2, 3, 6, 167, 334, 501, 1002 and 1, 2, 3, 6, 109, 218, 327, 654 respectively.
Common factors of 1002 and 654 are [1, 2, 3, 6].
Hence, the Greatest Common Factor of 1002 and 654 is 6.
How Many Factors of 1002 are also Factors of 697?
Since, the factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002 and factors of 697 are 1, 17, 41, 697. Hence, 1002 and 697 have only one common factor which is 1. Therefore, 1002 and 697 are coprime.
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