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Find the prime factorization of number 3672.

Answer

The prime factorization of 3672 is:

$$ 3672 = 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot17 $$

Which is the same as :

$$ 3672 = 2^{3}\cdot3^{3}\cdot17 $$

Explanation

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

3672 can be written as 2 × 1836.
  • 3672
    • 2
    • 1836
1836 can be written as 2 × 918.
  • 3672
    • 2
    • 1836
      • 918
      • 2
918 can be written as 2 × 459.
  • 3672
    • 2
    • 1836
      • 918
        • 2
        • 459
      • 2
459 can be written as 3 × 153.
  • 3672
    • 2
    • 1836
      • 918
        • 2
        • 459
          • 153
          • 3
      • 2
153 can be written as 3 × 51.
  • 3672
    • 2
    • 1836
      • 918
        • 2
        • 459
          • 153
            • 3
            • 51
          • 3
      • 2
51 can be written as 3 × 17.
  • 3672
    • 2
    • 1836
      • 918
        • 2
        • 459
          • 153
            • 3
            • 51
              • 17
              • 3
          • 3
      • 2
The end nodes are the prime factors of the number 3672.
  • 3672
    • 2
    • 1836
      • 918
        • 2
        • 459
          • 153
            • 3
            • 51
              • 17
              • 3
          • 3
      • 2
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Prime factorization calculator