Find the prime factorization of number 180.
Answer
The prime factorization of 180 is:
$$ 180 = 2\cdot2\cdot3\cdot3\cdot5 $$Which is the same as :
$$ 180 = 2^{2}\cdot3^{2}\cdot5 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 180 can be written as 10 × 18. |
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| 10 can be written as 2 × 5. |
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| 18 can be written as 2 × 9. |
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| 9 can be written as 3 × 3. |
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| The end nodes are the prime factors of the number 180. |
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