Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org

back to index

Find the prime factorization of number 1600.

Answer

The prime factorization of 1600 is:

$$ 1600 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot5 $$

Which is the same as :

$$ 1600 = 2^{6}\cdot5^{2} $$

Explanation

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

1600 can be written as 10 × 160.
  • 1600
    • 10
    • 160
10 can be written as 2 × 5.
  • 1600
    • 10
      • 5
      • 2
    • 160
160 can be written as 10 × 16.
  • 1600
    • 10
      • 5
      • 2
    • 160
      • 10
      • 16
10 can be written as 2 × 5.
  • 1600
    • 10
      • 5
      • 2
    • 160
      • 10
        • 5
        • 2
      • 16
16 can be written as 2 × 8.
  • 1600
    • 10
      • 5
      • 2
    • 160
      • 10
        • 5
        • 2
      • 16
        • 2
        • 8
8 can be written as 2 × 4.
  • 1600
    • 10
      • 5
      • 2
    • 160
      • 10
        • 5
        • 2
      • 16
        • 2
        • 8
          • 4
          • 2
4 can be written as 2 × 2.
  • 1600
    • 10
      • 5
      • 2
    • 160
      • 10
        • 5
        • 2
      • 16
        • 2
        • 8
          • 4
            • 2
            • 2
          • 2
The end nodes are the prime factors of the number 1600.
  • 1600
    • 10
      • 5
      • 2
    • 160
      • 10
        • 5
        • 2
      • 16
        • 2
        • 8
          • 4
            • 2
            • 2
          • 2
This page was created using
Prime factorization calculator