Question
Find the prime factorization of number 384277608.
Answer
The prime factorization of 384277608 is:
$$ 384277608 = 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot11\cdot11\cdot13\cdot13\cdot29 $$Which is the same as :
$$ 384277608 = 2^{3}\cdot3^{4}\cdot11^{2}\cdot13^{2}\cdot29 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 384277608 can be written as 2 × 192138804. |
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| 192138804 can be written as 2 × 96069402. |
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| 96069402 can be written as 2 × 48034701. |
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| 48034701 can be written as 3 × 16011567. |
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| 16011567 can be written as 3 × 5337189. |
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| 5337189 can be written as 3 × 1779063. |
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| 1779063 can be written as 3 × 593021. |
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| 593021 can be written as 11 × 53911. |
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| 53911 can be written as 11 × 4901. |
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| 4901 can be written as 13 × 377. |
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| 377 can be written as 13 × 29. |
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| The end nodes are the prime factors of the number 384277608. |
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