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Question

Find the prime factorization of number 952.

Answer

The prime factorization of 952 is:

$$ 952 = 2\cdot2\cdot2\cdot7\cdot17 $$

Which is the same as :

$$ 952 = 2^{3}\cdot7\cdot17 $$

Explanation

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

952 can be written as 2 × 476.
  • 952
    • 2
    • 476
476 can be written as 2 × 238.
  • 952
    • 2
    • 476
      • 238
      • 2
238 can be written as 2 × 119.
  • 952
    • 2
    • 476
      • 238
        • 2
        • 119
      • 2
119 can be written as 7 × 17.
  • 952
    • 2
    • 476
      • 238
        • 2
        • 119
          • 17
          • 7
      • 2
The end nodes are the prime factors of the number 952.
  • 952
    • 2
    • 476
      • 238
        • 2
        • 119
          • 17
          • 7
      • 2
This page was created using
Prime factorization calculator