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Question

Find the prime factorization of number 2002.

Answer

The prime factorization of 2002 is:

$$ 2002 = 2\cdot7\cdot11\cdot13 $$

Explanation

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

2002 can be written as 2 × 1001.
  • 2002
    • 2
    • 1001
1001 can be written as 7 × 143.
  • 2002
    • 2
    • 1001
      • 143
      • 7
143 can be written as 11 × 13.
  • 2002
    • 2
    • 1001
      • 143
        • 11
        • 13
      • 7
The end nodes are the prime factors of the number 2002.
  • 2002
    • 2
    • 1001
      • 143
        • 11
        • 13
      • 7
This page was created using
Prime factorization calculator