# Prime Factors of 58

Prime Factors of 58 are 2 and 29

#### How to find prime factors of a number

 1.   Prime Factorization of 58 by Division Method 2.   Prime Factorization of 58 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 58 by Division Method

To find the primefactors of 58 using the division method, follow these steps:

• Step 1. Start dividing 58 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 58, which is 2. Divide 58 by 2 to obtain the quotient (29).
58 ÷ 2 = 29
• Step 3. Repeat step 1 with the obtained quotient (29).
29 ÷ 29 = 1

So, the prime factorization of 58 is, 58 = 2 x 29.

#### Steps to find Prime Factors of 58 by Factor Tree Method

We can follow the same procedure using the factor tree of 58 as shown below:

So, the prime factorization of 58 is, 58 = 2 x 29.

#### What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 58 are 2 x 29.

#### Properties of Prime Factors

• Two prime factors of a given number are always coprime to each other.
• 2 is the only even prime factor any number can have.
• Two prime factors are always coprime to each other.
• 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 58 but not a prime factor of 58.

• Is 58 a prime number?

false, 58 is not a prime number.

• How to find prime factorization of 58 easily?

To find prime factorization of 58 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 58?

The largest prime factor of 58 is 29.

• What is the sum of all prime factors of 58?

Prime factors of 58 are 2 x 29. Therefore, their sum is 31.

• What is the product of all prime factors of 58?

Prime factors of 58 are 2 x 29. Therefore, their product is 58.

• What numbers are the prime factors of 58?

Prime factors of 58 are 2 , 29.

• What is the sum of all odd prime factors of 58?

Prime factors of 58 are 2 , 29, out of which 29 are odd numbers. So, the sum of odd prime factors of 58 is 29 = 29.

• Is there any even prime factor of 58?

Yes there is a even prime factor of 58.

• What is the product of all odd prime factors of 58?

Prime factors of 58 are 2 , 29, out of which 29 are odd numbers. So, the product of odd prime factors of 58 is 29 = 29.