# Prime Factors of 518

Prime Factors of 518 are 2, 7, and 37

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

 1.   Prime Factorization of 518 by Division Method 2.   Prime Factorization of 518 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 518 by Division Method

To find the primefactors of 518 using the division method, follow these steps:

• Step 1. Start dividing 518 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 518, which is 2. Divide 518 by 2 to obtain the quotient (259).
518 ÷ 2 = 259
• Step 3. Repeat step 1 with the obtained quotient (259).
259 ÷ 7 = 37
37 ÷ 37 = 1

So, the prime factorization of 518 is, 518 = 2 x 7 x 37.

#### Steps to find Prime Factors of 518 by Factor Tree Method

We can follow the same procedure using the factor tree of 518 as shown below:

So, the prime factorization of 518 is, 518 = 2 x 7 x 37.

#### 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 518 are 2 x 7 x 37.

#### 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 518 but not a prime factor of 518.

• Which is the smallest prime factor of 518?

Smallest prime factor of 518 is 2.

• Is 518 a perfect square?

No 518 is not a perfect square.

• What is the prime factorization of 518?

Prime factorization of 518 is 2 x 7 x 37.

• What are the factors of 518?

Factors of 518 are 1 , 2 , 7 , 14 , 37 , 74 , 259 , 518.

• What is the product of all prime factors of 518?

Prime factors of 518 are 2 x 7 x 37. Therefore, their product is 518.

• What numbers are the prime factors of 518?

Prime factors of 518 are 2 , 7 , 37.

• What is the sum of all odd prime factors of 518?

Prime factors of 518 are 2 , 7 , 37, out of which 7 , 37 are odd numbers. So, the sum of odd prime factors of 518 is 7 + 37 = 44.

• Is there any even prime factor of 518?

Yes there is a even prime factor of 518.

• What is the product of all odd prime factors of 518?

Prime factors of 518 are 2 , 7 , 37, out of which 7 , 37 are odd numbers. So, the product of odd prime factors of 518 is 7 x 37 = 259.