from a handpicked tutor in LIVE 1to1 classes
Factors of 1058
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: 2^{1} × 23^{2}
 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 
What are 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.
☛ 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
Factors of 1058 by Prime Factorization
 1058 ÷ 2 = 529
Further dividing 529 by 2 gives a nonzero 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 2^{1} × 23^{2} where 2, 23 are prime.
Factors of 1058 in Pairs
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.
Factors of 1058 Solved Examples

Example 1: How many factors are there for 1058?
Solution:
The factors of 1058 are 1, 2, 23, 46, 529, 1058. Therefore, 1058 has 6 factors.

Example 2: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 1058 and 379.
Solution:
The factors of 1058 are 1, 2, 23, 46, 529, 1058 and factors of 379 are 1, 379.
Therefore, the Least Common Multiple (LCM) of 1058 and 379 is 400982 and Greatest Common Divisor (GCD) of 1058 and 379 is 1. 
Example 3: Find if 1, 46, 369 and 1058 are factors of 1058.
Solution:
When we divide 1058 by 369 it leaves a remainder. Therefore, the number 369 is not a factor of 1058. All numbers except 369 are factors of 1058.

Example 4: Find the product of all the prime factors of 1058.
Solution:
Since, the prime factors of 1058 are 2, 23. Therefore, the product of prime factors = 2 × 23 = 46.
FAQs on Factors of 1058
What are the Factors of 1058?
The factors of 1058 are 1, 2, 23, 46, 529, 1058 and its negative factors are 1, 2, 23, 46, 529, 1058.
What is the Sum of Factors of 1058?
All the Factors of 1058 are 1, 2, 23, 46, 529, 1058 and therefore the sum of all these factors is 1 + 2 + 23 + 46 + 529 + 1058 = 1659
What are the Prime Factors of 1058?
The prime factors of 1058 are 2, 23.
What is the Greatest Common Factor of 1058 and 575?
The factors of 1058 and 575 are 1, 2, 23, 46, 529, 1058 and 1, 5, 23, 25, 115, 575 respectively.
Common factors of 1058 and 575 are [1, 23].
Hence, the Greatest Common Factor of 1058 and 575 is 23.
What are the Common Factors of 1058 and 593?
Since, the factors of 1058 are 1, 2, 23, 46, 529, 1058 and factors of 593 are 1, 593. Hence, 1058 and 593 have only one common factor which is 1. Therefore, 1058 and 593 are coprime.
visual curriculum