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Find the prime factorization of number 176.

Answer

The prime factorization of 176 is:

$$ 176 = 2\cdot2\cdot2\cdot2\cdot11 $$

Which is the same as :

$$ 176 = 2^{4}\cdot11 $$

Explanation

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

176 can be written as 2 × 88.
  • 176
    • 2
    • 88
88 can be written as 2 × 44.
  • 176
    • 2
    • 88
      • 44
      • 2
44 can be written as 2 × 22.
  • 176
    • 2
    • 88
      • 44
        • 2
        • 22
      • 2
22 can be written as 2 × 11.
  • 176
    • 2
    • 88
      • 44
        • 2
        • 22
          • 11
          • 2
      • 2
The end nodes are the prime factors of the number 176.
  • 176
    • 2
    • 88
      • 44
        • 2
        • 22
          • 11
          • 2
      • 2
This page was created using
Prime factorization calculator