Factors of 442 are the list of integers that can be evenly divided into 442. It has a total of 8 factors of which 442 is the biggest factor and the positive factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442. The Prime Factors of 442 are 2 × 13 × 17 and its Factors in Pairs are (1, 442), (2, 221), (13, 34), (17, 26).

• All Factors of 442: 1, 2, 13, 17, 26, 34, 221 and 442
• Negative Factors of 442: -1, -2, -13, -17, -26, -34, -221 and -442
• Prime Factors of 442: 2, 13, 17
• Prime Factorization of 442: 2¹ × 13¹ × 17¹
• Sum of Factors of 442: 756

1.	What Are the Factors of 442?
2.	Factors of 442 by Prime Factorization
3.	Factors of 442 in Pairs
4.	FAQs on Factors of 442

Factors of 442 are pairs of those numbers whose products result in 442. These factors are either prime numbers or composite numbers.

How to Find the Factors of 442?

To find the factors of 442, we will have to find the list of numbers that would divide 442 without leaving any remainder.

• 442/13 = 34; therefore, 13 is a factor of 442 and 34 is also a factor of 442.
• 442/2 = 221; therefore, 2 is a factor of 442 and 221 is also a factor of 442.

Similarly we can find other factors. Hence, the factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442.

☛ Also Check:

• Factors of 39 - The factors of 39 are 1, 3, 13, 39
• Factors of 4 - The factors of 4 are 1, 2, 4
• Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
• Factors of 23 - The factors of 23 are 1, 23
• Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28

The number 442 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 442. The first step is to divide the number 442 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 442 ÷ 2 = 221

Further dividing 221 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 221 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 442 can be written as 2¹ × 13¹ × 17¹ where 2, 13, 17 are prime.

Pair factors of 442 are the pairs of numbers that when multiplied give the product 442. The factors of 442 in pairs are:

• 1 × 442 = (1, 442)
• 2 × 221 = (2, 221)
• 13 × 34 = (13, 34)
• 17 × 26 = (17, 26)

Negative pair factors of 442 are:

• -1 × -442 = (-1, -442)
• -2 × -221 = (-2, -221)
• -13 × -34 = (-13, -34)
• -17 × -26 = (-17, -26)

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