Question
Find the prime factorization of number 30625.
Answer
The prime factorization of 30625 is:
$$ 30625 = 5\cdot5\cdot5\cdot5\cdot7\cdot7 $$Which is the same as :
$$ 30625 = 5^{4}\cdot7^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30625 can be written as 5 × 6125. |
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| 6125 can be written as 5 × 1225. |
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| 1225 can be written as 5 × 245. |
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| 245 can be written as 5 × 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 30625. |
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