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Question

Find the prime factorization of number 880.

Answer

The prime factorization of 880 is:

$$ 880 = 2\cdot2\cdot2\cdot2\cdot5\cdot11 $$

Which is the same as :

$$ 880 = 2^{4}\cdot5\cdot11 $$

Explanation

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

880 can be written as 10 × 88.
  • 880
    • 10
    • 88
10 can be written as 2 × 5.
  • 880
    • 10
      • 5
      • 2
    • 88
88 can be written as 2 × 44.
  • 880
    • 10
      • 5
      • 2
    • 88
      • 2
      • 44
44 can be written as 2 × 22.
  • 880
    • 10
      • 5
      • 2
    • 88
      • 2
      • 44
        • 22
        • 2
22 can be written as 2 × 11.
  • 880
    • 10
      • 5
      • 2
    • 88
      • 2
      • 44
        • 22
          • 2
          • 11
        • 2
The end nodes are the prime factors of the number 880.
  • 880
    • 10
      • 5
      • 2
    • 88
      • 2
      • 44
        • 22
          • 2
          • 11
        • 2
This page was created using
Prime factorization calculator