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Find the prime factorization of number 912.

Answer

The prime factorization of 912 is:

$$ 912 = 2\cdot2\cdot2\cdot2\cdot3\cdot19 $$

Which is the same as :

$$ 912 = 2^{4}\cdot3\cdot19 $$

Explanation

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

912 can be written as 2 × 456.
  • 912
    • 2
    • 456
456 can be written as 2 × 228.
  • 912
    • 2
    • 456
      • 228
      • 2
228 can be written as 2 × 114.
  • 912
    • 2
    • 456
      • 228
        • 2
        • 114
      • 2
114 can be written as 2 × 57.
  • 912
    • 2
    • 456
      • 228
        • 2
        • 114
          • 57
          • 2
      • 2
57 can be written as 3 × 19.
  • 912
    • 2
    • 456
      • 228
        • 2
        • 114
          • 57
            • 3
            • 19
          • 2
      • 2
The end nodes are the prime factors of the number 912.
  • 912
    • 2
    • 456
      • 228
        • 2
        • 114
          • 57
            • 3
            • 19
          • 2
      • 2
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Prime factorization calculator