Question
Find the prime factorization of number 4036081.
Answer
The prime factorization of 4036081 is:
$$ 4036081 = 7\cdot7\cdot7\cdot7\cdot41\cdot41 $$Which is the same as :
$$ 4036081 = 7^{4}\cdot41^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 4036081 can be written as 7 × 576583. |
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| 576583 can be written as 7 × 82369. |
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| 82369 can be written as 7 × 11767. |
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| 11767 can be written as 7 × 1681. |
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| 1681 can be written as 41 × 41. |
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| The end nodes are the prime factors of the number 4036081. |
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