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Question

Find the prime factorization of number 976.

Answer

The prime factorization of 976 is:

$$ 976 = 2\cdot2\cdot2\cdot2\cdot61 $$

Which is the same as :

$$ 976 = 2^{4}\cdot61 $$

Explanation

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

976 can be written as 2 × 488.
  • 976
    • 2
    • 488
488 can be written as 2 × 244.
  • 976
    • 2
    • 488
      • 244
      • 2
244 can be written as 2 × 122.
  • 976
    • 2
    • 488
      • 244
        • 2
        • 122
      • 2
122 can be written as 2 × 61.
  • 976
    • 2
    • 488
      • 244
        • 2
        • 122
          • 61
          • 2
      • 2
The end nodes are the prime factors of the number 976.
  • 976
    • 2
    • 488
      • 244
        • 2
        • 122
          • 61
          • 2
      • 2
This page was created using
Prime factorization calculator