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Question

Find the prime factorization of number 3680.

Answer

The prime factorization of 3680 is:

$$ 3680 = 2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot23 $$

Which is the same as :

$$ 3680 = 2^{5}\cdot5\cdot23 $$

Explanation

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

3680 can be written as 10 × 368.
  • 3680
    • 10
    • 368
10 can be written as 2 × 5.
  • 3680
    • 10
      • 5
      • 2
    • 368
368 can be written as 2 × 184.
  • 3680
    • 10
      • 5
      • 2
    • 368
      • 2
      • 184
184 can be written as 2 × 92.
  • 3680
    • 10
      • 5
      • 2
    • 368
      • 2
      • 184
        • 92
        • 2
92 can be written as 2 × 46.
  • 3680
    • 10
      • 5
      • 2
    • 368
      • 2
      • 184
        • 92
          • 2
          • 46
        • 2
46 can be written as 2 × 23.
  • 3680
    • 10
      • 5
      • 2
    • 368
      • 2
      • 184
        • 92
          • 2
          • 46
            • 23
            • 2
        • 2
The end nodes are the prime factors of the number 3680.
  • 3680
    • 10
      • 5
      • 2
    • 368
      • 2
      • 184
        • 92
          • 2
          • 46
            • 23
            • 2
        • 2
This page was created using
Prime factorization calculator