Question
Find the prime factorization of number 207025.
Answer
The prime factorization of 207025 is:
$$ 207025 = 5\cdot5\cdot7\cdot7\cdot13\cdot13 $$Which is the same as :
$$ 207025 = 5^{2}\cdot7^{2}\cdot13^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 207025 can be written as 5 × 41405. |
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| 41405 can be written as 5 × 8281. |
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| 8281 can be written as 7 × 1183. |
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| 1183 can be written as 7 × 169. |
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| 169 can be written as 13 × 13. |
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| The end nodes are the prime factors of the number 207025. |
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