Factors of 1058 are the list of integers that we can split evenly into 1058. It has a total of 6 factors of which 1058 is the biggest factor and the positive factors of 1058 are 1, 2, 23, 46, 529, 1058. The Prime Factors of 1058 are 2 × 23 and its Factors in Pairs are (1, 1058), (2, 529), (23, 46).

• All Factors of 1058: 1, 2, 23, 46, 529 and 1058
• Negative Factors of 1058: -1, -2, -23, -46, -529 and -1058
• Prime Factors of 1058: 2, 23
• Prime Factorization of 1058: 2¹ × 23²
• Sum of Factors of 1058: 1659

1.	What Are the Factors of 1058?
2.	Factors of 1058 by Prime Factorization
3.	Factors of 1058 in Pairs
4.	FAQs on Factors of 1058

Factors of 1058 are pairs of those numbers whose products result in 1058. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1058?

To find the factors of 1058, we will have to find the list of numbers that would divide 1058 without leaving any remainder.

• 1058/1058 = 1; therefore, 1058 is a factor of 1058.
• 1058/529 = 2; therefore, 529 is a factor of 1058.

Similarly we can find other factors. Hence, the factors of 1058 are 1, 2, 23, 46, 529, 1058.

☛ Also Check:

• Factors of 51 - The factors of 51 are 1, 3, 17, 51
• Factors of 125 - The factors of 125 are 1, 5, 25, 125
• Factors of 22 - The factors of 22 are 1, 2, 11, 22
• Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
• Factors of 15 - The factors of 15 are 1, 3, 5, 15

The number 1058 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1058. The first step is to divide the number 1058 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1058 ÷ 2 = 529

Further dividing 529 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 529 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 1058 can be written as 2¹ × 23² where 2, 23 are prime.

Pair factors of 1058 are the pairs of numbers that when multiplied give the product 1058. The factors of 1058 in pairs are:

• 1 × 1058 = (1, 1058)
• 2 × 529 = (2, 529)
• 23 × 46 = (23, 46)

Negative pair factors of 1058 are:

• -1 × -1058 = (-1, -1058)
• -2 × -529 = (-2, -529)
• -23 × -46 = (-23, -46)

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