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Question

Find the prime factorization of number 704.

Answer

The prime factorization of 704 is:

$$ 704 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot11 $$

Which is the same as :

$$ 704 = 2^{6}\cdot11 $$

Explanation

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

704 can be written as 2 × 352.
  • 704
    • 2
    • 352
352 can be written as 2 × 176.
  • 704
    • 2
    • 352
      • 176
      • 2
176 can be written as 2 × 88.
  • 704
    • 2
    • 352
      • 176
        • 2
        • 88
      • 2
88 can be written as 2 × 44.
  • 704
    • 2
    • 352
      • 176
        • 2
        • 88
          • 44
          • 2
      • 2
44 can be written as 2 × 22.
  • 704
    • 2
    • 352
      • 176
        • 2
        • 88
          • 44
            • 2
            • 22
          • 2
      • 2
22 can be written as 2 × 11.
  • 704
    • 2
    • 352
      • 176
        • 2
        • 88
          • 44
            • 2
            • 22
              • 11
              • 2
          • 2
      • 2
The end nodes are the prime factors of the number 704.
  • 704
    • 2
    • 352
      • 176
        • 2
        • 88
          • 44
            • 2
            • 22
              • 11
              • 2
          • 2
      • 2
This page was created using
Prime factorization calculator