Factors of 228 are integers that can be divided evenly into 228. There are total 12 factors of 228, of which 2, 3, 19 are its prime factors. The Prime Factorization of 228 is 2² × 3¹ × 19¹.

• All Factors of 228: 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114 and 228
• Prime Factors of 228: 2, 3, 19
• Prime Factorization of 228: 2² × 3¹ × 19¹
• Sum of Factors of 228: 560

1.	What Are the Factors of 228?
2.	Factors of 228 by Prime Factorization
3.	Factors of 228 in Pairs
4.	FAQs on Factors of 228

Factors of 228 are pairs of those numbers whose products result in 228. These factors are either prime numbers or composite numbers.

How to Find the Factors of 228?

To find the factors of 228, we will have to find the list of numbers that would divide 228 without leaving any remainder.

• 228/6 = 38; therefore, 6 is a factor of 228 and 38 is also a factor of 228.
• 228/2 = 114; therefore, 2 is a factor of 228 and 114 is also a factor of 228.

Similarly we can find other factors. Hence, the factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228.

☛ Also Check:

• Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 15 - The factors of 15 are 1, 3, 5, 15
• Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99
• Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
• Factors of 35 - The factors of 35 are 1, 5, 7, 35

The number 228 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 228. The first step is to divide the number 228 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 228 ÷ 2 = 114
• 114 ÷ 2 = 57

Further dividing 57 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 57 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 228 can be written as 2² × 3¹ × 19¹ where 2, 3, 19 are prime.

Pair factors of 228 are the pairs of numbers that when multiplied give the product 228. The factors of 228 in pairs are:

• 1 × 228 = (1, 228)
• 2 × 114 = (2, 114)
• 3 × 76 = (3, 76)
• 4 × 57 = (4, 57)
• 6 × 38 = (6, 38)
• 12 × 19 = (12, 19)

Negative pair factors of 228 are:

• -1 × -228 = (-1, -228)
• -2 × -114 = (-2, -114)
• -3 × -76 = (-3, -76)
• -4 × -57 = (-4, -57)
• -6 × -38 = (-6, -38)
• -12 × -19 = (-12, -19)

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