Question
Find the prime factorization of number 250000000.
Answer
The prime factorization of 250000000 is:
$$ 250000000 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 250000000 = 2^{7}\cdot5^{9} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 250000000 can be written as 10 × 25000000. |
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| 10 can be written as 2 × 5. |
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| 25000000 can be written as 10 × 2500000. |
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| 10 can be written as 2 × 5. |
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| 2500000 can be written as 10 × 250000. |
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| 10 can be written as 2 × 5. |
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| 250000 can be written as 10 × 25000. |
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| 10 can be written as 2 × 5. |
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| 25000 can be written as 10 × 2500. |
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| 10 can be written as 2 × 5. |
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| 2500 can be written as 10 × 250. |
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| 10 can be written as 2 × 5. |
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| 250 can be written as 10 × 25. |
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| 10 can be written as 2 × 5. |
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| 25 can be written as 5 × 5. |
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| The end nodes are the prime factors of the number 250000000. |
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