Prime Factors of 513

Steps to find Prime Factors of 513 by Division Method

To find the primefactors of 513 using the division method, follow these steps:

• Step 1. Start dividing 513 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 513, which is 3. Divide 513 by 3 to obtain the quotient (171).
  513 ÷ 3 = 171
• Step 3. Repeat step 1 with the obtained quotient (171).
  171 ÷ 3 = 57
  57 ÷ 3 = 19
  19 ÷ 19 = 1

So, the prime factorization of 513 is, 513 = 3 x 3 x 3 x 19.

Steps to find Prime Factors of 513 by Factor Tree Method

We can follow the same procedure using the factor tree of 513 as shown below:

So, the prime factorization of 513 is, 513 = 3 x 3 x 3 x 19.

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 513 are 3 x 3 x 3 x 19.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 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 513 but not a prime factor of 513.

Frequently Asked Questions

• Which is the smallest prime factor of 513?

  Smallest prime factor of 513 is 3.

• What is the prime factorization of 513?

  Prime factorization of 513 is 3 x 3 x 3 x 19.

• What is prime factorization of 513 in exponential form?

  Prime factorization of 513 in exponential form is 3³ x 19.

• Is 513 a prime number or a composite number?

  513 is a composite number.

• Is 513 a prime number?

  false, 513 is not a prime number.

• How to find prime factorization of 513 easily?

  To find prime factorization of 513 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 513?

  The largest prime factor of 513 is 19.

• What is the product of all prime factors of 513?

  Prime factors of 513 are 3 x 3 x 3 x 19. Therefore, their product is 513.

• What is the sum of all odd prime factors of 513?

  Prime factors of 513 are 3 , 3 , 3 , 19, out of which 3 , 3 , 3 , 19 are odd numbers. So, the sum of odd prime factors of 513 is 3 + 3 + 3 + 19 = 28.