Find the prime factorization of number 367500.
Answer
The prime factorization of 367500 is:
$$ 367500 = 2\cdot2\cdot3\cdot5\cdot5\cdot5\cdot5\cdot7\cdot7 $$Which is the same as :
$$ 367500 = 2^{2}\cdot3\cdot5^{4}\cdot7^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 367500 can be written as 10 × 36750. |
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| 10 can be written as 2 × 5. |
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| 36750 can be written as 10 × 3675. |
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| 10 can be written as 2 × 5. |
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| 3675 can be written as 5 × 735. |
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| 735 can be written as 5 × 147. |
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| 147 can be written as 3 × 49. |
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| 49 can be written as 7 × 7. |
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| The end nodes are the prime factors of the number 367500. |
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