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Question

Find the prime factorization of number 7546.

Answer

The prime factorization of 7546 is:

$$ 7546 = 2\cdot7\cdot7\cdot7\cdot11 $$

Which is the same as :

$$ 7546 = 2\cdot7^{3}\cdot11 $$

Explanation

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

7546 can be written as 2 × 3773.
  • 7546
    • 2
    • 3773
3773 can be written as 7 × 539.
  • 7546
    • 2
    • 3773
      • 539
      • 7
539 can be written as 7 × 77.
  • 7546
    • 2
    • 3773
      • 539
        • 7
        • 77
      • 7
77 can be written as 7 × 11.
  • 7546
    • 2
    • 3773
      • 539
        • 7
        • 77
          • 11
          • 7
      • 7
The end nodes are the prime factors of the number 7546.
  • 7546
    • 2
    • 3773
      • 539
        • 7
        • 77
          • 11
          • 7
      • 7
This page was created using
Prime factorization calculator