Find the prime factorization of number 1372000.
Answer
The prime factorization of 1372000 is:
$$ 1372000 = 2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot7\cdot7\cdot7 $$Which is the same as :
$$ 1372000 = 2^{5}\cdot5^{3}\cdot7^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1372000 can be written as 10 × 137200. |
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| 10 can be written as 2 × 5. |
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| 137200 can be written as 10 × 13720. |
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| 10 can be written as 2 × 5. |
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| 13720 can be written as 10 × 1372. |
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| 10 can be written as 2 × 5. |
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| 1372 can be written as 2 × 686. |
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| 686 can be written as 2 × 343. |
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| 343 can be written as 7 × 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 1372000. |
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