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Question

Find the prime factorization of number 1000000.

Answer

The prime factorization of 1000000 is:

$$ 1000000 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5 $$

Which is the same as :

$$ 1000000 = 2^{6}\cdot5^{6} $$

Explanation

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

1000000 can be written as 10 × 100000.
  • 1000000
    • 10
    • 100000
10 can be written as 2 × 5.
  • 1000000
    • 10
      • 5
      • 2
    • 100000
100000 can be written as 10 × 10000.
  • 1000000
    • 10
      • 5
      • 2
    • 100000
      • 10
      • 10000
10 can be written as 2 × 5.
  • 1000000
    • 10
      • 5
      • 2
    • 100000
      • 10
        • 5
        • 2
      • 10000
10000 can be written as 10 × 1000.
  • 1000000
    • 10
      • 5
      • 2
    • 100000
      • 10
        • 5
        • 2
      • 10000
        • 10
        • 1000
10 can be written as 2 × 5.
  • 1000000
    • 10
      • 5
      • 2
    • 100000
      • 10
        • 5
        • 2
      • 10000
        • 10
          • 5
          • 2
        • 1000
1000 can be written as 10 × 100.
  • 1000000
    • 10
      • 5
      • 2
    • 100000
      • 10
        • 5
        • 2
      • 10000
        • 10
          • 5
          • 2
        • 1000
          • 10
          • 100
10 can be written as 2 × 5.
  • 1000000
    • 10
      • 5
      • 2
    • 100000
      • 10
        • 5
        • 2
      • 10000
        • 10
          • 5
          • 2
        • 1000
          • 10
            • 5
            • 2
          • 100
100 can be written as 10 × 10.
  • 1000000
    • 10
      • 5
      • 2
    • 100000
      • 10
        • 5
        • 2
      • 10000
        • 10
          • 5
          • 2
        • 1000
          • 10
            • 5
            • 2
          • 100
            • 10
            • 10
10 can be written as 2 × 5.
  • 1000000
    • 10
      • 5
      • 2
    • 100000
      • 10
        • 5
        • 2
      • 10000
        • 10
          • 5
          • 2
        • 1000
          • 10
            • 5
            • 2
          • 100
            • 10
              • 5
              • 2
            • 10
10 can be written as 2 × 5.
  • 1000000
    • 10
      • 5
      • 2
    • 100000
      • 10
        • 5
        • 2
      • 10000
        • 10
          • 5
          • 2
        • 1000
          • 10
            • 5
            • 2
          • 100
            • 10
              • 5
              • 2
            • 10
              • 2
              • 5
The end nodes are the prime factors of the number 1000000.
  • 1000000
    • 10
      • 5
      • 2
    • 100000
      • 10
        • 5
        • 2
      • 10000
        • 10
          • 5
          • 2
        • 1000
          • 10
            • 5
            • 2
          • 100
            • 10
              • 5
              • 2
            • 10
              • 2
              • 5
This page was created using
Prime factorization calculator