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Find the prime factorization of number 928.

Answer

The prime factorization of 928 is:

$$ 928 = 2\cdot2\cdot2\cdot2\cdot2\cdot29 $$

Which is the same as :

$$ 928 = 2^{5}\cdot29 $$

Explanation

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

928 can be written as 2 × 464.
  • 928
    • 2
    • 464
464 can be written as 2 × 232.
  • 928
    • 2
    • 464
      • 232
      • 2
232 can be written as 2 × 116.
  • 928
    • 2
    • 464
      • 232
        • 2
        • 116
      • 2
116 can be written as 2 × 58.
  • 928
    • 2
    • 464
      • 232
        • 2
        • 116
          • 58
          • 2
      • 2
58 can be written as 2 × 29.
  • 928
    • 2
    • 464
      • 232
        • 2
        • 116
          • 58
            • 2
            • 29
          • 2
      • 2
The end nodes are the prime factors of the number 928.
  • 928
    • 2
    • 464
      • 232
        • 2
        • 116
          • 58
            • 2
            • 29
          • 2
      • 2
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