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Find the prime factorization of number 112.

Answer

The prime factorization of 112 is:

$$ 112 = 2\cdot2\cdot2\cdot2\cdot7 $$

Which is the same as :

$$ 112 = 2^{4}\cdot7 $$

Explanation

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

112 can be written as 2 × 56.
  • 112
    • 2
    • 56
56 can be written as 2 × 28.
  • 112
    • 2
    • 56
      • 28
      • 2
28 can be written as 2 × 14.
  • 112
    • 2
    • 56
      • 28
        • 2
        • 14
      • 2
14 can be written as 2 × 7.
  • 112
    • 2
    • 56
      • 28
        • 2
        • 14
          • 7
          • 2
      • 2
The end nodes are the prime factors of the number 112.
  • 112
    • 2
    • 56
      • 28
        • 2
        • 14
          • 7
          • 2
      • 2
This page was created using
Prime factorization calculator