Question
Find the prime factorization of number 343343000.
Answer
The prime factorization of 343343000 is:
$$ 343343000 = 2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot7\cdot7\cdot7\cdot7\cdot11\cdot13 $$Which is the same as :
$$ 343343000 = 2^{3}\cdot5^{3}\cdot7^{4}\cdot11\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 343343000 can be written as 10 × 34334300. |
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| 10 can be written as 2 × 5. |
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| 34334300 can be written as 10 × 3433430. |
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| 10 can be written as 2 × 5. |
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| 3433430 can be written as 10 × 343343. |
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| 10 can be written as 2 × 5. |
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| 343343 can be written as 7 × 49049. |
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| 49049 can be written as 7 × 7007. |
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| 7007 can be written as 7 × 1001. |
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| 1001 can be written as 7 × 143. |
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| 143 can be written as 11 × 13. |
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| The end nodes are the prime factors of the number 343343000. |
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