Question
Find the prime factorization of number 1071121984.
Answer
The prime factorization of 1071121984 is:
$$ 1071121984 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot4091\cdot4091 $$Which is the same as :
$$ 1071121984 = 2^{6}\cdot4091^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1071121984 can be written as 2 × 535560992. |
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| 535560992 can be written as 2 × 267780496. |
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| 267780496 can be written as 2 × 133890248. |
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| 133890248 can be written as 2 × 66945124. |
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| 66945124 can be written as 2 × 33472562. |
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| 33472562 can be written as 2 × 16736281. |
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| 16736281 can be written as 4091 × 4091. |
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| The end nodes are the prime factors of the number 1071121984. |
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