Question
Find the prime factorization of number 453592.
Answer
The prime factorization of 453592 is:
$$ 453592 = 2\cdot2\cdot2\cdot31\cdot31\cdot59 $$Which is the same as :
$$ 453592 = 2^{3}\cdot31^{2}\cdot59 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 453592 can be written as 2 × 226796. |
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| 226796 can be written as 2 × 113398. |
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| 113398 can be written as 2 × 56699. |
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| 56699 can be written as 31 × 1829. |
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| 1829 can be written as 31 × 59. |
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| The end nodes are the prime factors of the number 453592. |
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