Question
Find the prime factorization of number 43401015.
Answer
The prime factorization of 43401015 is:
$$ 43401015 = 3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot5\cdot7\cdot7 $$Which is the same as :
$$ 43401015 = 3^{11}\cdot5\cdot7^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 43401015 can be written as 5 × 8680203. |
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| 8680203 can be written as 3 × 2893401. |
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| 2893401 can be written as 3 × 964467. |
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| 964467 can be written as 3 × 321489. |
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| 321489 can be written as 3 × 107163. |
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| 107163 can be written as 3 × 35721. |
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| 35721 can be written as 3 × 11907. |
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| 11907 can be written as 3 × 3969. |
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| 3969 can be written as 3 × 1323. |
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| 1323 can be written as 3 × 441. |
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| 441 can be written as 3 × 147. |
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| 147 can be written as 3 × 49. |
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| 49 can be written as 7 × 7. |
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| The end nodes are the prime factors of the number 43401015. |
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