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Question

Find the prime factorization of number 1275.

Answer

The prime factorization of 1275 is:

$$ 1275 = 3\cdot5\cdot5\cdot17 $$

Which is the same as :

$$ 1275 = 3\cdot5^{2}\cdot17 $$

Explanation

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

1275 can be written as 5 × 255.
  • 1275
    • 5
    • 255
255 can be written as 5 × 51.
  • 1275
    • 5
    • 255
      • 51
      • 5
51 can be written as 3 × 17.
  • 1275
    • 5
    • 255
      • 51
        • 3
        • 17
      • 5
The end nodes are the prime factors of the number 1275.
  • 1275
    • 5
    • 255
      • 51
        • 3
        • 17
      • 5
This page was created using
Prime factorization calculator