Question
Find the prime factorization of number 575000000.
Answer
The prime factorization of 575000000 is:
$$ 575000000 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot23 $$Which is the same as :
$$ 575000000 = 2^{6}\cdot5^{8}\cdot23 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 575000000 can be written as 10 × 57500000. |
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| 10 can be written as 2 × 5. |
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| 57500000 can be written as 10 × 5750000. |
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| 10 can be written as 2 × 5. |
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| 5750000 can be written as 10 × 575000. |
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| 10 can be written as 2 × 5. |
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| 575000 can be written as 10 × 57500. |
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| 10 can be written as 2 × 5. |
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| 57500 can be written as 10 × 5750. |
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| 10 can be written as 2 × 5. |
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| 5750 can be written as 10 × 575. |
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| 10 can be written as 2 × 5. |
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| 575 can be written as 5 × 115. |
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| 115 can be written as 5 × 23. |
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| The end nodes are the prime factors of the number 575000000. |
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