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Question

Find the prime factorization of number 160.

Answer

The prime factorization of 160 is:

$$ 160 = 2\cdot2\cdot2\cdot2\cdot2\cdot5 $$

Which is the same as :

$$ 160 = 2^{5}\cdot5 $$

Explanation

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

160 can be written as 10 × 16.
  • 160
    • 10
    • 16
10 can be written as 2 × 5.
  • 160
    • 10
      • 5
      • 2
    • 16
16 can be written as 2 × 8.
  • 160
    • 10
      • 5
      • 2
    • 16
      • 2
      • 8
8 can be written as 2 × 4.
  • 160
    • 10
      • 5
      • 2
    • 16
      • 2
      • 8
        • 4
        • 2
4 can be written as 2 × 2.
  • 160
    • 10
      • 5
      • 2
    • 16
      • 2
      • 8
        • 4
          • 2
          • 2
        • 2
The end nodes are the prime factors of the number 160.
  • 160
    • 10
      • 5
      • 2
    • 16
      • 2
      • 8
        • 4
          • 2
          • 2
        • 2
This page was created using
Prime factorization calculator