Question
Find the prime factorization of number 1280359080.
Answer
The prime factorization of 1280359080 is:
$$ 1280359080 = 2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot7\cdot11\cdot11\cdot13\cdot17\cdot19 $$Which is the same as :
$$ 1280359080 = 2^{3}\cdot3^{2}\cdot5\cdot7\cdot11^{2}\cdot13\cdot17\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1280359080 can be written as 10 × 128035908. |
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| 10 can be written as 2 × 5. |
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| 128035908 can be written as 2 × 64017954. |
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| 64017954 can be written as 2 × 32008977. |
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| 32008977 can be written as 3 × 10669659. |
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| 10669659 can be written as 3 × 3556553. |
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| 3556553 can be written as 7 × 508079. |
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| 508079 can be written as 11 × 46189. |
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| 46189 can be written as 11 × 4199. |
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| 4199 can be written as 13 × 323. |
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| 323 can be written as 17 × 19. |
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| The end nodes are the prime factors of the number 1280359080. |
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