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Question

Find the prime factorization of number 320.

Answer

The prime factorization of 320 is:

$$ 320 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot5 $$

Which is the same as :

$$ 320 = 2^{6}\cdot5 $$

Explanation

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

320 can be written as 10 × 32.
  • 320
    • 10
    • 32
10 can be written as 2 × 5.
  • 320
    • 10
      • 5
      • 2
    • 32
32 can be written as 2 × 16.
  • 320
    • 10
      • 5
      • 2
    • 32
      • 2
      • 16
16 can be written as 2 × 8.
  • 320
    • 10
      • 5
      • 2
    • 32
      • 2
      • 16
        • 8
        • 2
8 can be written as 2 × 4.
  • 320
    • 10
      • 5
      • 2
    • 32
      • 2
      • 16
        • 8
          • 2
          • 4
        • 2
4 can be written as 2 × 2.
  • 320
    • 10
      • 5
      • 2
    • 32
      • 2
      • 16
        • 8
          • 2
          • 4
            • 2
            • 2
        • 2
The end nodes are the prime factors of the number 320.
  • 320
    • 10
      • 5
      • 2
    • 32
      • 2
      • 16
        • 8
          • 2
          • 4
            • 2
            • 2
        • 2
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Prime factorization calculator