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Find the prime factorization of number 1332.

Answer

The prime factorization of 1332 is:

$$ 1332 = 2\cdot2\cdot3\cdot3\cdot37 $$

Which is the same as :

$$ 1332 = 2^{2}\cdot3^{2}\cdot37 $$

Explanation

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

1332 can be written as 2 × 666.
  • 1332
    • 2
    • 666
666 can be written as 2 × 333.
  • 1332
    • 2
    • 666
      • 333
      • 2
333 can be written as 3 × 111.
  • 1332
    • 2
    • 666
      • 333
        • 3
        • 111
      • 2
111 can be written as 3 × 37.
  • 1332
    • 2
    • 666
      • 333
        • 3
        • 111
          • 37
          • 3
      • 2
The end nodes are the prime factors of the number 1332.
  • 1332
    • 2
    • 666
      • 333
        • 3
        • 111
          • 37
          • 3
      • 2
This page was created using
Prime factorization calculator