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Find the prime factorization of number 10780.

Answer

The prime factorization of 10780 is:

$$ 10780 = 2\cdot2\cdot5\cdot7\cdot7\cdot11 $$

Which is the same as :

$$ 10780 = 2^{2}\cdot5\cdot7^{2}\cdot11 $$

Explanation

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

10780 can be written as 10 × 1078.
  • 10780
    • 10
    • 1078
10 can be written as 2 × 5.
  • 10780
    • 10
      • 5
      • 2
    • 1078
1078 can be written as 2 × 539.
  • 10780
    • 10
      • 5
      • 2
    • 1078
      • 2
      • 539
539 can be written as 7 × 77.
  • 10780
    • 10
      • 5
      • 2
    • 1078
      • 2
      • 539
        • 77
        • 7
77 can be written as 7 × 11.
  • 10780
    • 10
      • 5
      • 2
    • 1078
      • 2
      • 539
        • 77
          • 7
          • 11
        • 7
The end nodes are the prime factors of the number 10780.
  • 10780
    • 10
      • 5
      • 2
    • 1078
      • 2
      • 539
        • 77
          • 7
          • 11
        • 7
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