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Question

Find the prime factorization of number 702.

Answer

The prime factorization of 702 is:

$$ 702 = 2\cdot3\cdot3\cdot3\cdot13 $$

Which is the same as :

$$ 702 = 2\cdot3^{3}\cdot13 $$

Explanation

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

702 can be written as 2 × 351.
  • 702
    • 2
    • 351
351 can be written as 3 × 117.
  • 702
    • 2
    • 351
      • 117
      • 3
117 can be written as 3 × 39.
  • 702
    • 2
    • 351
      • 117
        • 3
        • 39
      • 3
39 can be written as 3 × 13.
  • 702
    • 2
    • 351
      • 117
        • 3
        • 39
          • 13
          • 3
      • 3
The end nodes are the prime factors of the number 702.
  • 702
    • 2
    • 351
      • 117
        • 3
        • 39
          • 13
          • 3
      • 3
This page was created using
Prime factorization calculator