Find the prime factorization of number 33776925.
Answer
The prime factorization of 33776925 is:
$$ 33776925 = 3\cdot5\cdot5\cdot7\cdot7\cdot7\cdot13\cdot101 $$Which is the same as :
$$ 33776925 = 3\cdot5^{2}\cdot7^{3}\cdot13\cdot101 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 33776925 can be written as 5 × 6755385. |
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| 6755385 can be written as 5 × 1351077. |
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| 1351077 can be written as 3 × 450359. |
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| 450359 can be written as 7 × 64337. |
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| 64337 can be written as 7 × 9191. |
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| 9191 can be written as 7 × 1313. |
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| 1313 can be written as 13 × 101. |
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| The end nodes are the prime factors of the number 33776925. |
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