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Question

Find the prime factorization of number 1088.

Answer

The prime factorization of 1088 is:

$$ 1088 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot17 $$

Which is the same as :

$$ 1088 = 2^{6}\cdot17 $$

Explanation

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

1088 can be written as 2 × 544.
  • 1088
    • 2
    • 544
544 can be written as 2 × 272.
  • 1088
    • 2
    • 544
      • 272
      • 2
272 can be written as 2 × 136.
  • 1088
    • 2
    • 544
      • 272
        • 2
        • 136
      • 2
136 can be written as 2 × 68.
  • 1088
    • 2
    • 544
      • 272
        • 2
        • 136
          • 68
          • 2
      • 2
68 can be written as 2 × 34.
  • 1088
    • 2
    • 544
      • 272
        • 2
        • 136
          • 68
            • 2
            • 34
          • 2
      • 2
34 can be written as 2 × 17.
  • 1088
    • 2
    • 544
      • 272
        • 2
        • 136
          • 68
            • 2
            • 34
              • 17
              • 2
          • 2
      • 2
The end nodes are the prime factors of the number 1088.
  • 1088
    • 2
    • 544
      • 272
        • 2
        • 136
          • 68
            • 2
            • 34
              • 17
              • 2
          • 2
      • 2
This page was created using
Prime factorization calculator