Question
Find the prime factorization of number 8423279424.
Answer
The prime factorization of 8423279424 is:
$$ 8423279424 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot7\cdot19\cdot19\cdot643 $$Which is the same as :
$$ 8423279424 = 2^{6}\cdot3^{4}\cdot7\cdot19^{2}\cdot643 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 8423279424 can be written as 2 × 4211639712. |
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| 4211639712 can be written as 2 × 2105819856. |
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| 2105819856 can be written as 2 × 1052909928. |
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| 1052909928 can be written as 2 × 526454964. |
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| 526454964 can be written as 2 × 263227482. |
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| 263227482 can be written as 2 × 131613741. |
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| 131613741 can be written as 3 × 43871247. |
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| 43871247 can be written as 3 × 14623749. |
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| 14623749 can be written as 3 × 4874583. |
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| 4874583 can be written as 3 × 1624861. |
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| 1624861 can be written as 7 × 232123. |
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| 232123 can be written as 19 × 12217. |
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| 12217 can be written as 19 × 643. |
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| The end nodes are the prime factors of the number 8423279424. |
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