Question
Find the prime factorization of number 1280000025.
Answer
The prime factorization of 1280000025 is:
$$ 1280000025 = 3\cdot3\cdot5\cdot5\cdot23\cdot247343 $$Which is the same as :
$$ 1280000025 = 3^{2}\cdot5^{2}\cdot23\cdot247343 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1280000025 can be written as 5 × 256000005. |
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| 256000005 can be written as 5 × 51200001. |
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| 51200001 can be written as 3 × 17066667. |
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| 17066667 can be written as 3 × 5688889. |
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| 5688889 can be written as 23 × 247343. |
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| The end nodes are the prime factors of the number 1280000025. |
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