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 550400.

Answer

The prime factorization of 550400 is:

$$ 550400 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot43 $$

Which is the same as :

$$ 550400 = 2^{9}\cdot5^{2}\cdot43 $$

Explanation

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

550400 can be written as 10 × 55040.
  • 550400
    • 10
    • 55040
10 can be written as 2 × 5.
  • 550400
    • 10
      • 5
      • 2
    • 55040
55040 can be written as 10 × 5504.
  • 550400
    • 10
      • 5
      • 2
    • 55040
      • 10
      • 5504
10 can be written as 2 × 5.
  • 550400
    • 10
      • 5
      • 2
    • 55040
      • 10
        • 5
        • 2
      • 5504
5504 can be written as 2 × 2752.
  • 550400
    • 10
      • 5
      • 2
    • 55040
      • 10
        • 5
        • 2
      • 5504
        • 2
        • 2752
2752 can be written as 2 × 1376.
  • 550400
    • 10
      • 5
      • 2
    • 55040
      • 10
        • 5
        • 2
      • 5504
        • 2
        • 2752
          • 1376
          • 2
1376 can be written as 2 × 688.
  • 550400
    • 10
      • 5
      • 2
    • 55040
      • 10
        • 5
        • 2
      • 5504
        • 2
        • 2752
          • 1376
            • 2
            • 688
          • 2
688 can be written as 2 × 344.
  • 550400
    • 10
      • 5
      • 2
    • 55040
      • 10
        • 5
        • 2
      • 5504
        • 2
        • 2752
          • 1376
            • 2
            • 688
              • 344
              • 2
          • 2
344 can be written as 2 × 172.
  • 550400
    • 10
      • 5
      • 2
    • 55040
      • 10
        • 5
        • 2
      • 5504
        • 2
        • 2752
          • 1376
            • 2
            • 688
              • 344
                • 2
                • 172
              • 2
          • 2
172 can be written as 2 × 86.
  • 550400
    • 10
      • 5
      • 2
    • 55040
      • 10
        • 5
        • 2
      • 5504
        • 2
        • 2752
          • 1376
            • 2
            • 688
              • 344
                • 2
                • 172
                  • 86
                  • 2
              • 2
          • 2
86 can be written as 2 × 43.
  • 550400
    • 10
      • 5
      • 2
    • 55040
      • 10
        • 5
        • 2
      • 5504
        • 2
        • 2752
          • 1376
            • 2
            • 688
              • 344
                • 2
                • 172
                  • 86
                    • 2
                    • 43
                  • 2
              • 2
          • 2
The end nodes are the prime factors of the number 550400.
  • 550400
    • 10
      • 5
      • 2
    • 55040
      • 10
        • 5
        • 2
      • 5504
        • 2
        • 2752
          • 1376
            • 2
            • 688
              • 344
                • 2
                • 172
                  • 86
                    • 2
                    • 43
                  • 2
              • 2
          • 2
This page was created using
Prime factorization calculator