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Question

Find the prime factorization of number 7800.

Answer

The prime factorization of 7800 is:

$$ 7800 = 2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot13 $$

Which is the same as :

$$ 7800 = 2^{3}\cdot3\cdot5^{2}\cdot13 $$

Explanation

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

7800 can be written as 10 × 780.
  • 7800
    • 10
    • 780
10 can be written as 2 × 5.
  • 7800
    • 10
      • 5
      • 2
    • 780
780 can be written as 10 × 78.
  • 7800
    • 10
      • 5
      • 2
    • 780
      • 10
      • 78
10 can be written as 2 × 5.
  • 7800
    • 10
      • 5
      • 2
    • 780
      • 10
        • 5
        • 2
      • 78
78 can be written as 2 × 39.
  • 7800
    • 10
      • 5
      • 2
    • 780
      • 10
        • 5
        • 2
      • 78
        • 2
        • 39
39 can be written as 3 × 13.
  • 7800
    • 10
      • 5
      • 2
    • 780
      • 10
        • 5
        • 2
      • 78
        • 2
        • 39
          • 13
          • 3
The end nodes are the prime factors of the number 7800.
  • 7800
    • 10
      • 5
      • 2
    • 780
      • 10
        • 5
        • 2
      • 78
        • 2
        • 39
          • 13
          • 3
This page was created using
Prime factorization calculator