Question
Find the prime factorization of number 309582.
Answer
The prime factorization of 309582 is:
$$ 309582 = 2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot7\cdot7\cdot13 $$Which is the same as :
$$ 309582 = 2\cdot3^{5}\cdot7^{2}\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 309582 can be written as 2 × 154791. |
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| 154791 can be written as 3 × 51597. |
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| 51597 can be written as 3 × 17199. |
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| 17199 can be written as 3 × 5733. |
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| 5733 can be written as 3 × 1911. |
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| 1911 can be written as 3 × 637. |
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| 637 can be written as 7 × 91. |
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| 91 can be written as 7 × 13. |
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| The end nodes are the prime factors of the number 309582. |
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