Question
Find the prime factorization of number 170520.
Answer
The prime factorization of 170520 is:
$$ 170520 = 2\cdot2\cdot2\cdot3\cdot5\cdot7\cdot7\cdot29 $$Which is the same as :
$$ 170520 = 2^{3}\cdot3\cdot5\cdot7^{2}\cdot29 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 170520 can be written as 10 × 17052. |
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| 10 can be written as 2 × 5. |
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| 17052 can be written as 2 × 8526. |
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| 8526 can be written as 2 × 4263. |
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| 4263 can be written as 3 × 1421. |
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| 1421 can be written as 7 × 203. |
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| 203 can be written as 7 × 29. |
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| The end nodes are the prime factors of the number 170520. |
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