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Question

Find the prime factorization of number 480.

Answer

The prime factorization of 480 is:

$$ 480 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot5 $$

Which is the same as :

$$ 480 = 2^{5}\cdot3\cdot5 $$

Explanation

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

480 can be written as 10 × 48.
  • 480
    • 10
    • 48
10 can be written as 2 × 5.
  • 480
    • 10
      • 5
      • 2
    • 48
48 can be written as 2 × 24.
  • 480
    • 10
      • 5
      • 2
    • 48
      • 2
      • 24
24 can be written as 2 × 12.
  • 480
    • 10
      • 5
      • 2
    • 48
      • 2
      • 24
        • 12
        • 2
12 can be written as 2 × 6.
  • 480
    • 10
      • 5
      • 2
    • 48
      • 2
      • 24
        • 12
          • 2
          • 6
        • 2
6 can be written as 2 × 3.
  • 480
    • 10
      • 5
      • 2
    • 48
      • 2
      • 24
        • 12
          • 2
          • 6
            • 3
            • 2
        • 2
The end nodes are the prime factors of the number 480.
  • 480
    • 10
      • 5
      • 2
    • 48
      • 2
      • 24
        • 12
          • 2
          • 6
            • 3
            • 2
        • 2
This page was created using
Prime factorization calculator