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Question

Find the prime factorization of number 936.

Answer

The prime factorization of 936 is:

$$ 936 = 2\cdot2\cdot2\cdot3\cdot3\cdot13 $$

Which is the same as :

$$ 936 = 2^{3}\cdot3^{2}\cdot13 $$

Explanation

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

936 can be written as 2 × 468.
  • 936
    • 2
    • 468
468 can be written as 2 × 234.
  • 936
    • 2
    • 468
      • 234
      • 2
234 can be written as 2 × 117.
  • 936
    • 2
    • 468
      • 234
        • 2
        • 117
      • 2
117 can be written as 3 × 39.
  • 936
    • 2
    • 468
      • 234
        • 2
        • 117
          • 39
          • 3
      • 2
39 can be written as 3 × 13.
  • 936
    • 2
    • 468
      • 234
        • 2
        • 117
          • 39
            • 3
            • 13
          • 3
      • 2
The end nodes are the prime factors of the number 936.
  • 936
    • 2
    • 468
      • 234
        • 2
        • 117
          • 39
            • 3
            • 13
          • 3
      • 2
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