Factors of 1428 are the list of integers that can be evenly divided into 1428. There are 24 factors of 1428, of which the following are its prime factors 2, 3, 7, 17. The Prime Factorization of 1428 is 2² × 3¹ × 7¹ × 17¹.

• All Factors of 1428: 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714 and 1428
• Prime Factors of 1428: 2, 3, 7, 17
• Prime Factorization of 1428: 2² × 3¹ × 7¹ × 17¹
• Sum of Factors of 1428: 4032

1.	What Are the Factors of 1428?
2.	Factors of 1428 by Prime Factorization
3.	Factors of 1428 in Pairs
4.	FAQs on Factors of 1428

Factors of 1428 are pairs of those numbers whose products result in 1428. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1428?

To find the factors of 1428, we will have to find the list of numbers that would divide 1428 without leaving any remainder.

• 1428/14 = 102; therefore, 14 is a factor of 1428 and 102 is also a factor of 1428.
• 1428/4 = 357; therefore, 4 is a factor of 1428 and 357 is also a factor of 1428.

Similarly we can find other factors. Hence, the factors of 1428 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714, 1428.

☛ Also Check:

• Factors of 125 - The factors of 125 are 1, 5, 25, 125
• Factors of 26 - The factors of 26 are 1, 2, 13, 26
• Factors of 39 - The factors of 39 are 1, 3, 13, 39
• Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
• Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The number 1428 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1428. The first step is to divide the number 1428 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1428 ÷ 2 = 714
• 714 ÷ 2 = 357

Further dividing 357 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 357 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 1428 can be written as 2² × 3¹ × 7¹ × 17¹ where 2, 3, 7, 17 are prime.

Pair factors of 1428 are the pairs of numbers that when multiplied give the product 1428. The factors of 1428 in pairs are:

• 1 × 1428 = (1, 1428)
• 2 × 714 = (2, 714)
• 3 × 476 = (3, 476)
• 4 × 357 = (4, 357)
• 6 × 238 = (6, 238)
• 7 × 204 = (7, 204)
• 12 × 119 = (12, 119)
• 14 × 102 = (14, 102)
• 17 × 84 = (17, 84)
• 21 × 68 = (21, 68)
• 28 × 51 = (28, 51)
• 34 × 42 = (34, 42)

Negative pair factors of 1428 are:

• -1 × -1428 = (-1, -1428)
• -2 × -714 = (-2, -714)
• -3 × -476 = (-3, -476)
• -4 × -357 = (-4, -357)
• -6 × -238 = (-6, -238)
• -7 × -204 = (-7, -204)
• -12 × -119 = (-12, -119)
• -14 × -102 = (-14, -102)
• -17 × -84 = (-17, -84)
• -21 × -68 = (-21, -68)
• -28 × -51 = (-28, -51)
• -34 × -42 = (-34, -42)

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