Question
Find the prime factorization of number 73530625.
Answer
The prime factorization of 73530625 is:
$$ 73530625 = 5\cdot5\cdot5\cdot5\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7 $$Which is the same as :
$$ 73530625 = 5^{4}\cdot7^{6} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 73530625 can be written as 5 × 14706125. |
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| 14706125 can be written as 5 × 2941225. |
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| 2941225 can be written as 5 × 588245. |
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| 588245 can be written as 5 × 117649. |
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| 117649 can be written as 7 × 16807. |
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| 16807 can be written as 7 × 2401. |
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| 2401 can be written as 7 × 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 73530625. |
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