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Question

Find the prime factorization of number 3920.

Answer

The prime factorization of 3920 is:

$$ 3920 = 2\cdot2\cdot2\cdot2\cdot5\cdot7\cdot7 $$

Which is the same as :

$$ 3920 = 2^{4}\cdot5\cdot7^{2} $$

Explanation

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

3920 can be written as 10 × 392.
  • 3920
    • 10
    • 392
10 can be written as 2 × 5.
  • 3920
    • 10
      • 5
      • 2
    • 392
392 can be written as 2 × 196.
  • 3920
    • 10
      • 5
      • 2
    • 392
      • 2
      • 196
196 can be written as 2 × 98.
  • 3920
    • 10
      • 5
      • 2
    • 392
      • 2
      • 196
        • 98
        • 2
98 can be written as 2 × 49.
  • 3920
    • 10
      • 5
      • 2
    • 392
      • 2
      • 196
        • 98
          • 2
          • 49
        • 2
49 can be written as 7 × 7.
  • 3920
    • 10
      • 5
      • 2
    • 392
      • 2
      • 196
        • 98
          • 2
          • 49
            • 7
            • 7
        • 2
The end nodes are the prime factors of the number 3920.
  • 3920
    • 10
      • 5
      • 2
    • 392
      • 2
      • 196
        • 98
          • 2
          • 49
            • 7
            • 7
        • 2
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Prime factorization calculator