Find the prime factorization of number 1124788752.
Answer
The prime factorization of 1124788752 is:
$$ 1124788752 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot19\cdot37\cdot41\cdot271 $$Which is the same as :
$$ 1124788752 = 2^{4}\cdot3^{2}\cdot19\cdot37\cdot41\cdot271 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1124788752 can be written as 2 × 562394376. |
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| 562394376 can be written as 2 × 281197188. |
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| 281197188 can be written as 2 × 140598594. |
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| 140598594 can be written as 2 × 70299297. |
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| 70299297 can be written as 3 × 23433099. |
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| 23433099 can be written as 3 × 7811033. |
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| 7811033 can be written as 19 × 411107. |
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| 411107 can be written as 37 × 11111. |
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| 11111 can be written as 41 × 271. |
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| The end nodes are the prime factors of the number 1124788752. |
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