Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org

◀ back to index

Question

Find the prime factorization of number 7056.

Answer

The prime factorization of 7056 is:

$$ 7056 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot7\cdot7 $$

Which is the same as :

$$ 7056 = 2^{4}\cdot3^{2}\cdot7^{2} $$

Explanation

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

7056 can be written as 2 × 3528.
  • 7056
    • 2
    • 3528
3528 can be written as 2 × 1764.
  • 7056
    • 2
    • 3528
      • 1764
      • 2
1764 can be written as 2 × 882.
  • 7056
    • 2
    • 3528
      • 1764
        • 2
        • 882
      • 2
882 can be written as 2 × 441.
  • 7056
    • 2
    • 3528
      • 1764
        • 2
        • 882
          • 441
          • 2
      • 2
441 can be written as 3 × 147.
  • 7056
    • 2
    • 3528
      • 1764
        • 2
        • 882
          • 441
            • 3
            • 147
          • 2
      • 2
147 can be written as 3 × 49.
  • 7056
    • 2
    • 3528
      • 1764
        • 2
        • 882
          • 441
            • 3
            • 147
              • 49
              • 3
          • 2
      • 2
49 can be written as 7 × 7.
  • 7056
    • 2
    • 3528
      • 1764
        • 2
        • 882
          • 441
            • 3
            • 147
              • 49
                • 7
                • 7
              • 3
          • 2
      • 2
The end nodes are the prime factors of the number 7056.
  • 7056
    • 2
    • 3528
      • 1764
        • 2
        • 882
          • 441
            • 3
            • 147
              • 49
                • 7
                • 7
              • 3
          • 2
      • 2
This page was created using
Prime factorization calculator