Find the prime factorization of number 74088.
Answer
The prime factorization of 74088 is:
$$ 74088 = 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot7\cdot7\cdot7 $$Which is the same as :
$$ 74088 = 2^{3}\cdot3^{3}\cdot7^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 74088 can be written as 2 × 37044. |
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| 37044 can be written as 2 × 18522. |
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| 18522 can be written as 2 × 9261. |
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| 9261 can be written as 3 × 3087. |
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| 3087 can be written as 3 × 1029. |
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| 1029 can be written as 3 × 343. |
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| 343 can be written as 7 × 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 74088. |
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