Question
Find the prime factorization of number 478000.
Answer
The prime factorization of 478000 is:
$$ 478000 = 2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot239 $$Which is the same as :
$$ 478000 = 2^{4}\cdot5^{3}\cdot239 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 478000 can be written as 10 × 47800. |
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| 10 can be written as 2 × 5. |
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| 47800 can be written as 10 × 4780. |
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| 10 can be written as 2 × 5. |
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| 4780 can be written as 10 × 478. |
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| 10 can be written as 2 × 5. |
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| 478 can be written as 2 × 239. |
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| The end nodes are the prime factors of the number 478000. |
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