Find the prime factorization of number 479001600.
Answer
The prime factorization of 479001600 is:
$$ 479001600 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot5\cdot5\cdot7\cdot11 $$Which is the same as :
$$ 479001600 = 2^{10}\cdot3^{5}\cdot5^{2}\cdot7\cdot11 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 479001600 can be written as 10 × 47900160. |
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| 10 can be written as 2 × 5. |
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| 47900160 can be written as 10 × 4790016. |
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| 10 can be written as 2 × 5. |
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| 4790016 can be written as 2 × 2395008. |
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| 2395008 can be written as 2 × 1197504. |
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| 1197504 can be written as 2 × 598752. |
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| 598752 can be written as 2 × 299376. |
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| 299376 can be written as 2 × 149688. |
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| 149688 can be written as 2 × 74844. |
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| 74844 can be written as 2 × 37422. |
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| 37422 can be written as 2 × 18711. |
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| 18711 can be written as 3 × 6237. |
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| 6237 can be written as 3 × 2079. |
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| 2079 can be written as 3 × 693. |
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| 693 can be written as 3 × 231. |
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| 231 can be written as 3 × 77. |
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| 77 can be written as 7 × 11. |
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| The end nodes are the prime factors of the number 479001600. |
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