Factors of 209 are the list of integers that can be evenly divided into 209. There are overall 4 factors of 209 among which 209 is the biggest factor and its positive factors are 1, 11, 19, 209. The Prime Factors and Pair Factors of 209 are 11 × 19 and (1, 209), (11, 19) respectively.

• All Factors of 209: 1, 11, 19 and 209
• Negative Factors of 209: -1, -11, -19 and -209
• Prime Factors of 209: 11, 19
• Prime Factorization of 209: 11¹ × 19¹
• Sum of Factors of 209: 240

1.	What Are the Factors of 209?
2.	Factors of 209 by Prime Factorization
3.	Factors of 209 in Pairs
4.	FAQs on Factors of 209

Factors of 209 are pairs of those numbers whose products result in 209. These factors are either prime numbers or composite numbers.

How to Find the Factors of 209?

To find the factors of 209, we will have to find the list of numbers that would divide 209 without leaving any remainder.

• 209/19 = 11; therefore, 19 is a factor of 209 and 11 is also a factor of 209.
• 209/209 = 1; therefore, 209 is a factor of 209 and 1 is also a factor of 209.

Similarly we can find other factors. Hence, the factors of 209 are 1, 11, 19, 209.

☛ Also Check:

• Factors of 33 - The factors of 33 are 1, 3, 11, 33
• Factors of 31 - The factors of 31 are 1, 31
• Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
• Factors of 23 - The factors of 23 are 1, 23
• Factors of 38 - The factors of 38 are 1, 2, 19, 38

The number 209 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 209. The first step is to divide the number 209 with the smallest prime factor, here it is 11. We keep dividing until it gives a non-zero remainder.

• 209 ÷ 11 = 19

Further dividing 19 by 11 gives a non-zero remainder. So we stop the process and continue dividing the number 19 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 209 can be written as 11¹ × 19¹ where 11, 19 are prime.

Pair factors of 209 are the pairs of numbers that when multiplied give the product 209. The factors of 209 in pairs are:

• 1 × 209 = (1, 209)
• 11 × 19 = (11, 19)

Negative pair factors of 209 are:

• -1 × -209 = (-1, -209)
• -11 × -19 = (-11, -19)

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