Question
Find the prime factorization of number 264817800.
Answer
The prime factorization of 264817800 is:
$$ 264817800 = 2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot5\cdot13\cdot11317 $$Which is the same as :
$$ 264817800 = 2^{3}\cdot3^{2}\cdot5^{2}\cdot13\cdot11317 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 264817800 can be written as 10 × 26481780. |
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| 10 can be written as 2 × 5. |
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| 26481780 can be written as 10 × 2648178. |
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| 10 can be written as 2 × 5. |
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| 2648178 can be written as 2 × 1324089. |
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| 1324089 can be written as 3 × 441363. |
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| 441363 can be written as 3 × 147121. |
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| 147121 can be written as 13 × 11317. |
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| The end nodes are the prime factors of the number 264817800. |
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