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Find the prime factorization of number 1760.

Answer

The prime factorization of 1760 is:

$$ 1760 = 2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot11 $$

Which is the same as :

$$ 1760 = 2^{5}\cdot5\cdot11 $$

Explanation

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

1760 can be written as 10 × 176.
  • 1760
    • 10
    • 176
10 can be written as 2 × 5.
  • 1760
    • 10
      • 5
      • 2
    • 176
176 can be written as 2 × 88.
  • 1760
    • 10
      • 5
      • 2
    • 176
      • 2
      • 88
88 can be written as 2 × 44.
  • 1760
    • 10
      • 5
      • 2
    • 176
      • 2
      • 88
        • 44
        • 2
44 can be written as 2 × 22.
  • 1760
    • 10
      • 5
      • 2
    • 176
      • 2
      • 88
        • 44
          • 2
          • 22
        • 2
22 can be written as 2 × 11.
  • 1760
    • 10
      • 5
      • 2
    • 176
      • 2
      • 88
        • 44
          • 2
          • 22
            • 11
            • 2
        • 2
The end nodes are the prime factors of the number 1760.
  • 1760
    • 10
      • 5
      • 2
    • 176
      • 2
      • 88
        • 44
          • 2
          • 22
            • 11
            • 2
        • 2
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Prime factorization calculator