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Question

Find the prime factorization of number 351.

Answer

The prime factorization of 351 is:

$$ 351 = 3\cdot3\cdot3\cdot13 $$

Which is the same as :

$$ 351 = 3^{3}\cdot13 $$

Explanation

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

351 can be written as 3 × 117.
  • 351
    • 3
    • 117
117 can be written as 3 × 39.
  • 351
    • 3
    • 117
      • 39
      • 3
39 can be written as 3 × 13.
  • 351
    • 3
    • 117
      • 39
        • 3
        • 13
      • 3
The end nodes are the prime factors of the number 351.
  • 351
    • 3
    • 117
      • 39
        • 3
        • 13
      • 3
This page was created using
Prime factorization calculator