Factors of 204 are the list of integers that we can split evenly into 204. It has total 12 factors of which 204 is the biggest factor and the prime factors of 204 are 2, 3, 17. The Prime Factorization of 204 is 2² × 3¹ × 17¹.

• All Factors of 204: 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102 and 204
• Prime Factors of 204: 2, 3, 17
• Prime Factorization of 204: 2² × 3¹ × 17¹
• Sum of Factors of 204: 504

1.	What Are the Factors of 204?
2.	Factors of 204 by Prime Factorization
3.	Factors of 204 in Pairs
4.	FAQs on Factors of 204

Factors of 204 are pairs of those numbers whose products result in 204. These factors are either prime numbers or composite numbers.

How to Find the Factors of 204?

To find the factors of 204, we will have to find the list of numbers that would divide 204 without leaving any remainder.

• 204/12 = 17; therefore, 12 is a factor of 204 and 17 is also a factor of 204.
• 204/3 = 68; therefore, 3 is a factor of 204 and 68 is also a factor of 204.

Similarly we can find other factors. Hence, the factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204.

☛ Also Check:

• Factors of 56 - The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
• Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
• Factors of 5 - The factors of 5 are 1, 5
• Factors of 52 - The factors of 52 are 1, 2, 4, 13, 26, 52

The number 204 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 204. The first step is to divide the number 204 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 204 ÷ 2 = 102
• 102 ÷ 2 = 51

Further dividing 51 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 51 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 204 can be written as 2² × 3¹ × 17¹ where 2, 3, 17 are prime.

Pair factors of 204 are the pairs of numbers that when multiplied give the product 204. The factors of 204 in pairs are:

• 1 × 204 = (1, 204)
• 2 × 102 = (2, 102)
• 3 × 68 = (3, 68)
• 4 × 51 = (4, 51)
• 6 × 34 = (6, 34)
• 12 × 17 = (12, 17)

Negative pair factors of 204 are:

• -1 × -204 = (-1, -204)
• -2 × -102 = (-2, -102)
• -3 × -68 = (-3, -68)
• -4 × -51 = (-4, -51)
• -6 × -34 = (-6, -34)
• -12 × -17 = (-12, -17)

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