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Question

Find the prime factorization of number 1216.

Answer

The prime factorization of 1216 is:

$$ 1216 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot19 $$

Which is the same as :

$$ 1216 = 2^{6}\cdot19 $$

Explanation

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

1216 can be written as 2 × 608.
  • 1216
    • 2
    • 608
608 can be written as 2 × 304.
  • 1216
    • 2
    • 608
      • 304
      • 2
304 can be written as 2 × 152.
  • 1216
    • 2
    • 608
      • 304
        • 2
        • 152
      • 2
152 can be written as 2 × 76.
  • 1216
    • 2
    • 608
      • 304
        • 2
        • 152
          • 76
          • 2
      • 2
76 can be written as 2 × 38.
  • 1216
    • 2
    • 608
      • 304
        • 2
        • 152
          • 76
            • 2
            • 38
          • 2
      • 2
38 can be written as 2 × 19.
  • 1216
    • 2
    • 608
      • 304
        • 2
        • 152
          • 76
            • 2
            • 38
              • 19
              • 2
          • 2
      • 2
The end nodes are the prime factors of the number 1216.
  • 1216
    • 2
    • 608
      • 304
        • 2
        • 152
          • 76
            • 2
            • 38
              • 19
              • 2
          • 2
      • 2
This page was created using
Prime factorization calculator