# Factors of 58

The factors of 58 are the numbers that divide evenly into 58. There are only four factors of 58: 1, 2, 29, and 58 itself. The prime factorization of 58 is 2 * 29, which means that 58 is a composite number. Composite numbers are numbers that have more than two factors. The factors of 58 can be used to find the multiples of 58, which are the numbers that can be created by multiplying 58 by one of its factors.

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Prime Numbers

A prime number is a whole number greater than 1 that can only be divided evenly by 1 and itself. Some examples of prime numbers include 2, 3, 5, 7, and 11. Prime numbers are important in mathematics as they are used in many mathematical formulas and algorithms and are also used in the study of number theory.

Composite Numbers

A composite number is a whole number greater than 1 that can be divided evenly by a number other than 1 or itself. In other words, a composite number is not a prime number. Some examples of composite numbers include 4, 6, 8, 9, and 10.

## What are the factors of 58?

The method of calculating the factors of 58 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 58 are the factors of 58.
By dividing a number by 1, 2, 3, 4… we can discover all its factors.

(i) 58 ÷ 1 = 58

This division gives the remainder 0 and so is divisible by 58. So please put them 1 and 58 in your factor list.

1, … 58

(ii) 58 ÷ 2 = 29

This division gives the remainder 0 and so is divisible by 29. So please put them 2 and 29 in your factor list.

1, 2 … 29, 58

(iii) Since we don’t have any more numbers to calculate, we are putting the numbers so far.

So 1, 2, 29 and 58 are factors of 58.

### Factor pairs of 58

1 x 58 = 58
2 x 29 = 58

So, (1, 58) and (2, 29) are factor pairs of 58

### Factor pairs of -58

-1 x -58 = 58
-2 x -29 = 58

So, (-1, -58) and (-2, -29) are negative pair factor of 58

### Prime Factorization of 58

58 ÷ 2 = 29
29 ÷ 29 = 1

Therefore, 2 × 29 are Prime factorization of 58.

### Factor tree of 58

``````  58
/  \
2   29``````

## FAQs on Factors of 58

### What are the factor of 58?

The factor of 58 are 1, 2, 29, and 58.

### How many factors does 58 have?

58 has 4 factors.

### What is the prime factorization of 58?

The prime factorization of 58 is 2 x 29. This means that 58 can be written as the product of two prime numbers, 2 and 29.

### What is the sum of the factor of 58?

The sum of the factors of 58 is 90. This can be calculated by adding all the factors of 58 together.