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 5680.

Answer

The prime factorization of 5680 is:

$$ 5680 = 2\cdot2\cdot2\cdot2\cdot5\cdot71 $$

Which is the same as :

$$ 5680 = 2^{4}\cdot5\cdot71 $$

Explanation

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

5680 can be written as 10 × 568.
  • 5680
    • 10
    • 568
10 can be written as 2 × 5.
  • 5680
    • 10
      • 5
      • 2
    • 568
568 can be written as 2 × 284.
  • 5680
    • 10
      • 5
      • 2
    • 568
      • 2
      • 284
284 can be written as 2 × 142.
  • 5680
    • 10
      • 5
      • 2
    • 568
      • 2
      • 284
        • 142
        • 2
142 can be written as 2 × 71.
  • 5680
    • 10
      • 5
      • 2
    • 568
      • 2
      • 284
        • 142
          • 2
          • 71
        • 2
The end nodes are the prime factors of the number 5680.
  • 5680
    • 10
      • 5
      • 2
    • 568
      • 2
      • 284
        • 142
          • 2
          • 71
        • 2
This page was created using
Prime factorization calculator