Question
Find the prime factorization of number 7007923008.
Answer
The prime factorization of 7007923008 is:
$$ 7007923008 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot1351837 $$Which is the same as :
$$ 7007923008 = 2^{6}\cdot3^{4}\cdot1351837 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 7007923008 can be written as 2 × 3503961504. |
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| 3503961504 can be written as 2 × 1751980752. |
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| 1751980752 can be written as 2 × 875990376. |
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| 875990376 can be written as 2 × 437995188. |
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| 437995188 can be written as 2 × 218997594. |
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| 218997594 can be written as 2 × 109498797. |
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| 109498797 can be written as 3 × 36499599. |
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| 36499599 can be written as 3 × 12166533. |
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| 12166533 can be written as 3 × 4055511. |
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| 4055511 can be written as 3 × 1351837. |
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| The end nodes are the prime factors of the number 7007923008. |
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