Factors of 2014 are numbers that, when multiplied in pairs give the product as 2014. There are 8 factors of 2014, which are 1, 2, 19, 38, 53, 106, 1007, 2014. Here, 2014 is the biggest factor. The Prime Factors and Pair Factors of 2014 are 2 × 19 × 53 and (1, 2014), (2, 1007), (19, 106), (38, 53) respectively.

• All Factors of 2014: 1, 2, 19, 38, 53, 106, 1007 and 2014
• Negative Factors of 2014: -1, -2, -19, -38, -53, -106, -1007 and -2014
• Prime Factors of 2014: 2, 19, 53
• Prime Factorization of 2014: 2¹ × 19¹ × 53¹
• Sum of Factors of 2014: 3240

1.	What Are the Factors of 2014?
2.	Factors of 2014 by Prime Factorization
3.	Factors of 2014 in Pairs
4.	FAQs on Factors of 2014

Factors of 2014 are pairs of those numbers whose products result in 2014. These factors are either prime numbers or composite numbers.

How to Find the Factors of 2014?

To find the factors of 2014, we will have to find the list of numbers that would divide 2014 without leaving any remainder.

• 2014/2014 = 1; therefore, 2014 is a factor of 2014.
• 2014/19 = 106; therefore, 19 is a factor of 2014.

Similarly we can find other factors. Hence, the factors of 2014 are 1, 2, 19, 38, 53, 106, 1007, 2014.

☛ Also Check:

• Factors of 7 - The factors of 7 are 1, 7
• Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
• Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
• Factors of 65 - The factors of 65 are 1, 5, 13, 65
• Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75

The number 2014 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 2014. The first step is to divide the number 2014 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 2014 ÷ 2 = 1007

Further dividing 1007 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 1007 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 2014 can be written as 2¹ × 19¹ × 53¹ where 2, 19, 53 are prime.

Pair factors of 2014 are the pairs of numbers that when multiplied give the product 2014. The factors of 2014 in pairs are:

• 1 × 2014 = (1, 2014)
• 2 × 1007 = (2, 1007)
• 19 × 106 = (19, 106)
• 38 × 53 = (38, 53)

Negative pair factors of 2014 are:

• -1 × -2014 = (-1, -2014)
• -2 × -1007 = (-2, -1007)
• -19 × -106 = (-19, -106)
• -38 × -53 = (-38, -53)

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