Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org

◀ back to index

Question

Find the prime factorization of number 568.

Answer

The prime factorization of 568 is:

$$ 568 = 2\cdot2\cdot2\cdot71 $$

Which is the same as :

$$ 568 = 2^{3}\cdot71 $$

Explanation

Prime factorization can be nicely visualized by creating a factorization tree.

568 can be written as 2 × 284.
  • 568
    • 2
    • 284
284 can be written as 2 × 142.
  • 568
    • 2
    • 284
      • 142
      • 2
142 can be written as 2 × 71.
  • 568
    • 2
    • 284
      • 142
        • 2
        • 71
      • 2
The end nodes are the prime factors of the number 568.
  • 568
    • 2
    • 284
      • 142
        • 2
        • 71
      • 2
This page was created using
Prime factorization calculator