Question
Find the prime factorization of number 10440000.
Answer
The prime factorization of 10440000 is:
$$ 10440000 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot5\cdot5\cdot5\cdot29 $$Which is the same as :
$$ 10440000 = 2^{6}\cdot3^{2}\cdot5^{4}\cdot29 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 10440000 can be written as 10 × 1044000. |
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| 10 can be written as 2 × 5. |
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| 1044000 can be written as 10 × 104400. |
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| 10 can be written as 2 × 5. |
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| 104400 can be written as 10 × 10440. |
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| 10 can be written as 2 × 5. |
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| 10440 can be written as 10 × 1044. |
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| 10 can be written as 2 × 5. |
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| 1044 can be written as 2 × 522. |
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| 522 can be written as 2 × 261. |
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| 261 can be written as 3 × 87. |
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| 87 can be written as 3 × 29. |
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| The end nodes are the prime factors of the number 10440000. |
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