Question
Find the prime factorization of number 5864.
Answer
The prime factorization of 5864 is:
$$ 5864 = 2\cdot2\cdot2\cdot733 $$Which is the same as :
$$ 5864 = 2^{3}\cdot733 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 5864 can be written as 2 × 2932. |
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| 2932 can be written as 2 × 1466. |
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| 1466 can be written as 2 × 733. |
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| The end nodes are the prime factors of the number 5864. |
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