Question
Find the prime factorization of number 345262200.
Answer
The prime factorization of 345262200 is:
$$ 345262200 = 2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot23\cdot127\cdot197 $$Which is the same as :
$$ 345262200 = 2^{3}\cdot3\cdot5^{2}\cdot23\cdot127\cdot197 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 345262200 can be written as 10 × 34526220. |
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| 10 can be written as 2 × 5. |
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| 34526220 can be written as 10 × 3452622. |
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| 10 can be written as 2 × 5. |
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| 3452622 can be written as 2 × 1726311. |
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| 1726311 can be written as 3 × 575437. |
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| 575437 can be written as 23 × 25019. |
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| 25019 can be written as 127 × 197. |
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| The end nodes are the prime factors of the number 345262200. |
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