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Question

Find the prime factorization of number 1668.

Answer

The prime factorization of 1668 is:

$$ 1668 = 2\cdot2\cdot3\cdot139 $$

Which is the same as :

$$ 1668 = 2^{2}\cdot3\cdot139 $$

Explanation

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

1668 can be written as 2 × 834.
  • 1668
    • 2
    • 834
834 can be written as 2 × 417.
  • 1668
    • 2
    • 834
      • 417
      • 2
417 can be written as 3 × 139.
  • 1668
    • 2
    • 834
      • 417
        • 3
        • 139
      • 2
The end nodes are the prime factors of the number 1668.
  • 1668
    • 2
    • 834
      • 417
        • 3
        • 139
      • 2
This page was created using
Prime factorization calculator