Prime factorization of 513

Here you will see step by step solution of prime factorization of 513, how to find factors of 513, you will see all factors of 513, how many factors of 513 has? Factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513, we can see that 513 has 8 factor and sum of all factors is 800.

  • All Factors of 513: 1, 3, 9, 19, 27, 57, 171, 513
  • Prime Factors of 513: 3 × 3 × 3 × 19
  • Prime Factorization of 513: 33 × 191
  • Sum of Factors of 513: 800
  • Is 513 prime number: No

How to find factors of 513 by Division Method?

To find the factors of 513 by division method, we need the find the all numbers between 1 to 513, which divide 513 with 0 remainder, then the number is factor of 513.

Pair factors of 513

  • 513/1 = 513 [ 1 × 513 (1, 513) 1 and 513 is pair factor of 513]
  • 513/3 = 171 [ 3 × 171 (3, 171) 3 and 171 is pair factor of 513]
  • 513/9 = 57 [ 9 × 57 (9, 57) 9 and 57 is pair factor of 513]
  • 513/19 = 27 [ 19 × 27 (19, 27) 19 and 27 is pair factor of 513]
  • 513/27 = 19 [ 27 × 19 (27, 19) 27 and 19 is pair factor of 513]
  • 513/57 = 9 [ 57 × 9 (57, 9) 57 and 9 is pair factor of 513]
  • 513/171 = 3 [ 171 × 3 (171, 3) 171 and 3 is pair factor of 513]
  • 513/513 = 1 [ 513 × 1 (513, 1) 513 and 1 is pair factor of 513]

As we checked numbers between 1 to 513 that are not leaving any remainder, hence we can say factors of 513 is 1, 3, 9, 19, 27, 57, 171, 513.

Also note that, in exponential form prime factorization of 513 is written as 33 × 191 and it is a composite number.

Prime Factorization Calculator

We hope you understand that how to find factors of 513. Let's check some other examples of factors.

Some examples of prime factorization