Question
Find the prime factorization of number 211770.
Answer
The prime factorization of 211770 is:
$$ 211770 = 2\cdot3\cdot3\cdot5\cdot13\cdot181 $$Which is the same as :
$$ 211770 = 2\cdot3^{2}\cdot5\cdot13\cdot181 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 211770 can be written as 10 × 21177. |
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| 10 can be written as 2 × 5. |
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| 21177 can be written as 3 × 7059. |
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| 7059 can be written as 3 × 2353. |
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| 2353 can be written as 13 × 181. |
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| The end nodes are the prime factors of the number 211770. |
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