Question
Find the prime factorization of number 231108864.
Answer
The prime factorization of 231108864 is:
$$ 231108864 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot7\cdot42989 $$Which is the same as :
$$ 231108864 = 2^{8}\cdot3\cdot7\cdot42989 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 231108864 can be written as 2 × 115554432. |
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| 115554432 can be written as 2 × 57777216. |
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| 57777216 can be written as 2 × 28888608. |
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| 28888608 can be written as 2 × 14444304. |
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| 14444304 can be written as 2 × 7222152. |
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| 7222152 can be written as 2 × 3611076. |
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| 3611076 can be written as 2 × 1805538. |
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| 1805538 can be written as 2 × 902769. |
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| 902769 can be written as 3 × 300923. |
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| 300923 can be written as 7 × 42989. |
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| The end nodes are the prime factors of the number 231108864. |
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