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Find the prime factorization of number 3120.

Answer

The prime factorization of 3120 is:

$$ 3120 = 2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot13 $$

Which is the same as :

$$ 3120 = 2^{4}\cdot3\cdot5\cdot13 $$

Explanation

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

3120 can be written as 10 × 312.
  • 3120
    • 10
    • 312
10 can be written as 2 × 5.
  • 3120
    • 10
      • 5
      • 2
    • 312
312 can be written as 2 × 156.
  • 3120
    • 10
      • 5
      • 2
    • 312
      • 2
      • 156
156 can be written as 2 × 78.
  • 3120
    • 10
      • 5
      • 2
    • 312
      • 2
      • 156
        • 78
        • 2
78 can be written as 2 × 39.
  • 3120
    • 10
      • 5
      • 2
    • 312
      • 2
      • 156
        • 78
          • 2
          • 39
        • 2
39 can be written as 3 × 13.
  • 3120
    • 10
      • 5
      • 2
    • 312
      • 2
      • 156
        • 78
          • 2
          • 39
            • 13
            • 3
        • 2
The end nodes are the prime factors of the number 3120.
  • 3120
    • 10
      • 5
      • 2
    • 312
      • 2
      • 156
        • 78
          • 2
          • 39
            • 13
            • 3
        • 2
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Prime factorization calculator