Find the prime factorization of number 333290000.
Answer
The prime factorization of 333290000 is:
$$ 333290000 = 2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot5\cdot33329 $$Which is the same as :
$$ 333290000 = 2^{4}\cdot5^{4}\cdot33329 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 333290000 can be written as 10 × 33329000. |
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| 10 can be written as 2 × 5. |
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| 33329000 can be written as 10 × 3332900. |
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| 10 can be written as 2 × 5. |
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| 3332900 can be written as 10 × 333290. |
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| 10 can be written as 2 × 5. |
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| 333290 can be written as 10 × 33329. |
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| 10 can be written as 2 × 5. |
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| The end nodes are the prime factors of the number 333290000. |
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