Question
Find the prime factorization of number 158800000.
Answer
The prime factorization of 158800000 is:
$$ 158800000 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot5\cdot5\cdot397 $$Which is the same as :
$$ 158800000 = 2^{7}\cdot5^{5}\cdot397 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 158800000 can be written as 10 × 15880000. |
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| 10 can be written as 2 × 5. |
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| 15880000 can be written as 10 × 1588000. |
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| 10 can be written as 2 × 5. |
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| 1588000 can be written as 10 × 158800. |
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| 10 can be written as 2 × 5. |
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| 158800 can be written as 10 × 15880. |
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| 10 can be written as 2 × 5. |
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| 15880 can be written as 10 × 1588. |
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| 10 can be written as 2 × 5. |
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| 1588 can be written as 2 × 794. |
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| 794 can be written as 2 × 397. |
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| The end nodes are the prime factors of the number 158800000. |
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