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Find the prime factorization of number 3552.

Answer

The prime factorization of 3552 is:

$$ 3552 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot37 $$

Which is the same as :

$$ 3552 = 2^{5}\cdot3\cdot37 $$

Explanation

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

3552 can be written as 2 × 1776.
  • 3552
    • 2
    • 1776
1776 can be written as 2 × 888.
  • 3552
    • 2
    • 1776
      • 888
      • 2
888 can be written as 2 × 444.
  • 3552
    • 2
    • 1776
      • 888
        • 2
        • 444
      • 2
444 can be written as 2 × 222.
  • 3552
    • 2
    • 1776
      • 888
        • 2
        • 444
          • 222
          • 2
      • 2
222 can be written as 2 × 111.
  • 3552
    • 2
    • 1776
      • 888
        • 2
        • 444
          • 222
            • 2
            • 111
          • 2
      • 2
111 can be written as 3 × 37.
  • 3552
    • 2
    • 1776
      • 888
        • 2
        • 444
          • 222
            • 2
            • 111
              • 37
              • 3
          • 2
      • 2
The end nodes are the prime factors of the number 3552.
  • 3552
    • 2
    • 1776
      • 888
        • 2
        • 444
          • 222
            • 2
            • 111
              • 37
              • 3
          • 2
      • 2
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Prime factorization calculator