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Find the prime factorization of number 1176.

Answer

The prime factorization of 1176 is:

$$ 1176 = 2\cdot2\cdot2\cdot3\cdot7\cdot7 $$

Which is the same as :

$$ 1176 = 2^{3}\cdot3\cdot7^{2} $$

Explanation

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

1176 can be written as 2 × 588.
  • 1176
    • 2
    • 588
588 can be written as 2 × 294.
  • 1176
    • 2
    • 588
      • 294
      • 2
294 can be written as 2 × 147.
  • 1176
    • 2
    • 588
      • 294
        • 2
        • 147
      • 2
147 can be written as 3 × 49.
  • 1176
    • 2
    • 588
      • 294
        • 2
        • 147
          • 49
          • 3
      • 2
49 can be written as 7 × 7.
  • 1176
    • 2
    • 588
      • 294
        • 2
        • 147
          • 49
            • 7
            • 7
          • 3
      • 2
The end nodes are the prime factors of the number 1176.
  • 1176
    • 2
    • 588
      • 294
        • 2
        • 147
          • 49
            • 7
            • 7
          • 3
      • 2
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