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Find the prime factorization of number 1472.

Answer

The prime factorization of 1472 is:

$$ 1472 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot23 $$

Which is the same as :

$$ 1472 = 2^{6}\cdot23 $$

Explanation

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

1472 can be written as 2 × 736.
  • 1472
    • 2
    • 736
736 can be written as 2 × 368.
  • 1472
    • 2
    • 736
      • 368
      • 2
368 can be written as 2 × 184.
  • 1472
    • 2
    • 736
      • 368
        • 2
        • 184
      • 2
184 can be written as 2 × 92.
  • 1472
    • 2
    • 736
      • 368
        • 2
        • 184
          • 92
          • 2
      • 2
92 can be written as 2 × 46.
  • 1472
    • 2
    • 736
      • 368
        • 2
        • 184
          • 92
            • 2
            • 46
          • 2
      • 2
46 can be written as 2 × 23.
  • 1472
    • 2
    • 736
      • 368
        • 2
        • 184
          • 92
            • 2
            • 46
              • 23
              • 2
          • 2
      • 2
The end nodes are the prime factors of the number 1472.
  • 1472
    • 2
    • 736
      • 368
        • 2
        • 184
          • 92
            • 2
            • 46
              • 23
              • 2
          • 2
      • 2
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Prime factorization calculator