Find the prime factorization of number 22500.
Answer
The prime factorization of 22500 is:
$$ 22500 = 2\cdot2\cdot3\cdot3\cdot5\cdot5\cdot5\cdot5 $$Which is the same as :
$$ 22500 = 2^{2}\cdot3^{2}\cdot5^{4} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 22500 can be written as 10 × 2250. |
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| 10 can be written as 2 × 5. |
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| 2250 can be written as 10 × 225. |
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| 10 can be written as 2 × 5. |
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| 225 can be written as 5 × 45. |
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| 45 can be written as 5 × 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 22500. |
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