Factors of 814 are the list of integers that can be evenly divided into 814. There are 8 factors of 814, which are 1, 2, 11, 22, 37, 74, 407, 814. Here, 814 is the biggest factor. The Pair Factors of 814 are (1, 814), (2, 407), (11, 74), (22, 37) and its Prime Factors are 2 × 11 × 37.

• All Factors of 814: 1, 2, 11, 22, 37, 74, 407 and 814
• Negative Factors of 814: -1, -2, -11, -22, -37, -74, -407 and -814
• Prime Factors of 814: 2, 11, 37
• Prime Factorization of 814: 2¹ × 11¹ × 37¹
• Sum of Factors of 814: 1368

1.	What Are the Factors of 814?
2.	Factors of 814 by Prime Factorization
3.	Factors of 814 in Pairs
4.	FAQs on Factors of 814

Factors of 814 are pairs of those numbers whose products result in 814. These factors are either prime numbers or composite numbers.

How to Find the Factors of 814?

To find the factors of 814, we will have to find the list of numbers that would divide 814 without leaving any remainder.

• 814/11 = 74; therefore, 11 is a factor of 814 and 74 is also a factor of 814.
• 814/22 = 37; therefore, 22 is a factor of 814 and 37 is also a factor of 814.

Similarly we can find other factors. Hence, the factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814.

☛ Also Check:

• Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
• Factors of 27 - The factors of 27 are 1, 3, 9, 27
• Factors of 16 - The factors of 16 are 1, 2, 4, 8, 16
• Factors of 34 - The factors of 34 are 1, 2, 17, 34
• Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The number 814 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 814. The first step is to divide the number 814 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 814 ÷ 2 = 407

Further dividing 407 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 407 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 814 can be written as 2¹ × 11¹ × 37¹ where 2, 11, 37 are prime.

Pair factors of 814 are the pairs of numbers that when multiplied give the product 814. The factors of 814 in pairs are:

• 1 × 814 = (1, 814)
• 2 × 407 = (2, 407)
• 11 × 74 = (11, 74)
• 22 × 37 = (22, 37)

Negative pair factors of 814 are:

• -1 × -814 = (-1, -814)
• -2 × -407 = (-2, -407)
• -11 × -74 = (-11, -74)
• -22 × -37 = (-22, -37)

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