Question
Find the prime factorization of number 35000000.
Answer
The prime factorization of 35000000 is:
$$ 35000000 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot7 $$Which is the same as :
$$ 35000000 = 2^{6}\cdot5^{7}\cdot7 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 35000000 can be written as 10 × 3500000. |
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| 10 can be written as 2 × 5. |
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| 3500000 can be written as 10 × 350000. |
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| 10 can be written as 2 × 5. |
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| 350000 can be written as 10 × 35000. |
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| 10 can be written as 2 × 5. |
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| 35000 can be written as 10 × 3500. |
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| 10 can be written as 2 × 5. |
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| 3500 can be written as 10 × 350. |
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| 10 can be written as 2 × 5. |
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| 350 can be written as 10 × 35. |
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| 10 can be written as 2 × 5. |
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| 35 can be written as 5 × 7. |
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| The end nodes are the prime factors of the number 35000000. |
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