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Question

Find the prime factorization of number 2940.

Answer

The prime factorization of 2940 is:

$$ 2940 = 2\cdot2\cdot3\cdot5\cdot7\cdot7 $$

Which is the same as :

$$ 2940 = 2^{2}\cdot3\cdot5\cdot7^{2} $$

Explanation

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

2940 can be written as 10 × 294.
  • 2940
    • 10
    • 294
10 can be written as 2 × 5.
  • 2940
    • 10
      • 5
      • 2
    • 294
294 can be written as 2 × 147.
  • 2940
    • 10
      • 5
      • 2
    • 294
      • 2
      • 147
147 can be written as 3 × 49.
  • 2940
    • 10
      • 5
      • 2
    • 294
      • 2
      • 147
        • 49
        • 3
49 can be written as 7 × 7.
  • 2940
    • 10
      • 5
      • 2
    • 294
      • 2
      • 147
        • 49
          • 7
          • 7
        • 3
The end nodes are the prime factors of the number 2940.
  • 2940
    • 10
      • 5
      • 2
    • 294
      • 2
      • 147
        • 49
          • 7
          • 7
        • 3
This page was created using
Prime factorization calculator