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Question

Find the prime factorization of number 443520.

Answer

The prime factorization of 443520 is:

$$ 443520 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot7\cdot11 $$

Which is the same as :

$$ 443520 = 2^{7}\cdot3^{2}\cdot5\cdot7\cdot11 $$

Explanation

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

443520 can be written as 10 × 44352.
  • 443520
    • 10
    • 44352
10 can be written as 2 × 5.
  • 443520
    • 10
      • 5
      • 2
    • 44352
44352 can be written as 2 × 22176.
  • 443520
    • 10
      • 5
      • 2
    • 44352
      • 2
      • 22176
22176 can be written as 2 × 11088.
  • 443520
    • 10
      • 5
      • 2
    • 44352
      • 2
      • 22176
        • 11088
        • 2
11088 can be written as 2 × 5544.
  • 443520
    • 10
      • 5
      • 2
    • 44352
      • 2
      • 22176
        • 11088
          • 2
          • 5544
        • 2
5544 can be written as 2 × 2772.
  • 443520
    • 10
      • 5
      • 2
    • 44352
      • 2
      • 22176
        • 11088
          • 2
          • 5544
            • 2772
            • 2
        • 2
2772 can be written as 2 × 1386.
  • 443520
    • 10
      • 5
      • 2
    • 44352
      • 2
      • 22176
        • 11088
          • 2
          • 5544
            • 2772
              • 2
              • 1386
            • 2
        • 2
1386 can be written as 2 × 693.
  • 443520
    • 10
      • 5
      • 2
    • 44352
      • 2
      • 22176
        • 11088
          • 2
          • 5544
            • 2772
              • 2
              • 1386
                • 693
                • 2
            • 2
        • 2
693 can be written as 3 × 231.
  • 443520
    • 10
      • 5
      • 2
    • 44352
      • 2
      • 22176
        • 11088
          • 2
          • 5544
            • 2772
              • 2
              • 1386
                • 693
                  • 3
                  • 231
                • 2
            • 2
        • 2
231 can be written as 3 × 77.
  • 443520
    • 10
      • 5
      • 2
    • 44352
      • 2
      • 22176
        • 11088
          • 2
          • 5544
            • 2772
              • 2
              • 1386
                • 693
                  • 3
                  • 231
                    • 77
                    • 3
                • 2
            • 2
        • 2
77 can be written as 7 × 11.
  • 443520
    • 10
      • 5
      • 2
    • 44352
      • 2
      • 22176
        • 11088
          • 2
          • 5544
            • 2772
              • 2
              • 1386
                • 693
                  • 3
                  • 231
                    • 77
                      • 7
                      • 11
                    • 3
                • 2
            • 2
        • 2
The end nodes are the prime factors of the number 443520.
  • 443520
    • 10
      • 5
      • 2
    • 44352
      • 2
      • 22176
        • 11088
          • 2
          • 5544
            • 2772
              • 2
              • 1386
                • 693
                  • 3
                  • 231
                    • 77
                      • 7
                      • 11
                    • 3
                • 2
            • 2
        • 2
This page was created using
Prime factorization calculator