Factors of 428 are the list of integers that can be evenly divided into 428. There are overall 6 factors of 428 i.e. 1, 2, 4, 107, 214, 428 where 428 is the biggest factor. The Prime Factors of 428 are 2 × 107 and its Factors in Pairs are (1, 428), (2, 214), (4, 107).

• All Factors of 428: 1, 2, 4, 107, 214 and 428
• Negative Factors of 428: -1, -2, -4, -107, -214 and -428
• Prime Factors of 428: 2, 107
• Prime Factorization of 428: 2² × 107¹
• Sum of Factors of 428: 756

1.	What Are the Factors of 428?
2.	Factors of 428 by Prime Factorization
3.	Factors of 428 in Pairs
4.	FAQs on Factors of 428

Factors of 428 are pairs of those numbers whose products result in 428. These factors are either prime numbers or composite numbers.

How to Find the Factors of 428?

To find the factors of 428, we will have to find the list of numbers that would divide 428 without leaving any remainder.

• 428/214 = 2; therefore, 214 is a factor of 428 and 2 is also a factor of 428.
• 428/107 = 4; therefore, 107 is a factor of 428 and 4 is also a factor of 428.

Similarly we can find other factors. Hence, the factors of 428 are 1, 2, 4, 107, 214, 428.

☛ Also Check:

• Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 65 - The factors of 65 are 1, 5, 13, 65
• Factors of 70 - The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
• Factors of 22 - The factors of 22 are 1, 2, 11, 22
• Factors of 9 - The factors of 9 are 1, 3, 9

The number 428 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 428. The first step is to divide the number 428 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 428 ÷ 2 = 214
• 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 428 can be written as 2² × 107¹ where 2, 107 are prime.

Pair factors of 428 are the pairs of numbers that when multiplied give the product 428. The factors of 428 in pairs are:

• 1 × 428 = (1, 428)
• 2 × 214 = (2, 214)
• 4 × 107 = (4, 107)

Negative pair factors of 428 are:

• -1 × -428 = (-1, -428)
• -2 × -214 = (-2, -214)
• -4 × -107 = (-4, -107)

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