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Question

Find the prime factorization of number 12480.

Answer

The prime factorization of 12480 is:

$$ 12480 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot13 $$

Which is the same as :

$$ 12480 = 2^{6}\cdot3\cdot5\cdot13 $$

Explanation

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

12480 can be written as 10 × 1248.
  • 12480
    • 10
    • 1248
10 can be written as 2 × 5.
  • 12480
    • 10
      • 5
      • 2
    • 1248
1248 can be written as 2 × 624.
  • 12480
    • 10
      • 5
      • 2
    • 1248
      • 2
      • 624
624 can be written as 2 × 312.
  • 12480
    • 10
      • 5
      • 2
    • 1248
      • 2
      • 624
        • 312
        • 2
312 can be written as 2 × 156.
  • 12480
    • 10
      • 5
      • 2
    • 1248
      • 2
      • 624
        • 312
          • 2
          • 156
        • 2
156 can be written as 2 × 78.
  • 12480
    • 10
      • 5
      • 2
    • 1248
      • 2
      • 624
        • 312
          • 2
          • 156
            • 78
            • 2
        • 2
78 can be written as 2 × 39.
  • 12480
    • 10
      • 5
      • 2
    • 1248
      • 2
      • 624
        • 312
          • 2
          • 156
            • 78
              • 2
              • 39
            • 2
        • 2
39 can be written as 3 × 13.
  • 12480
    • 10
      • 5
      • 2
    • 1248
      • 2
      • 624
        • 312
          • 2
          • 156
            • 78
              • 2
              • 39
                • 13
                • 3
            • 2
        • 2
The end nodes are the prime factors of the number 12480.
  • 12480
    • 10
      • 5
      • 2
    • 1248
      • 2
      • 624
        • 312
          • 2
          • 156
            • 78
              • 2
              • 39
                • 13
                • 3
            • 2
        • 2
This page was created using
Prime factorization calculator