Factors of 214 are the list of integers that we can split evenly into 214. It has a total of 4 factors of which 214 is the biggest factor and the positive factors of 214 are 1, 2, 107, 214. The sum of all factors of 214 is 324. Its Prime Factors are 2 × 107 and (1, 214), (2, 107) are Pair Factors.

• All Factors of 214: 1, 2, 107 and 214
• Negative Factors of 214: -1, -2, -107 and -214
• Prime Factors of 214: 2, 107
• Prime Factorization of 214: 2¹ × 107¹
• Sum of Factors of 214: 324

1.	What Are the Factors of 214?
2.	Factors of 214 by Prime Factorization
3.	Factors of 214 in Pairs
4.	FAQs on Factors of 214

Factors of 214 are pairs of those numbers whose products result in 214. These factors are either prime numbers or composite numbers.

How to Find the Factors of 214?

To find the factors of 214, we will have to find the list of numbers that would divide 214 without leaving any remainder.

• 214/107 = 2; therefore, 107 is a factor of 214 and 2 is also a factor of 214.
• 214/1 = 214; therefore, 1 is a factor of 214 and 214 is also a factor of 214.

Similarly we can find other factors. Hence, the factors of 214 are 1, 2, 107, 214.

☛ Also Check:

• Factors of 121 - The factors of 121 are 1, 11, 121
• Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
• Factors of 51 - The factors of 51 are 1, 3, 17, 51
• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 38 - The factors of 38 are 1, 2, 19, 38

The number 214 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 214. The first step is to divide the number 214 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 214 ÷ 2 = 107

Further dividing 107 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 107 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 214 can be written as 2¹ × 107¹ where 2, 107 are prime.

Pair factors of 214 are the pairs of numbers that when multiplied give the product 214. The factors of 214 in pairs are:

• 1 × 214 = (1, 214)
• 2 × 107 = (2, 107)

Negative pair factors of 214 are:

• -1 × -214 = (-1, -214)
• -2 × -107 = (-2, -107)

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