Find the prime factorization of number 122500.
Answer
The prime factorization of 122500 is:
$$ 122500 = 2\cdot2\cdot5\cdot5\cdot5\cdot5\cdot7\cdot7 $$Which is the same as :
$$ 122500 = 2^{2}\cdot5^{4}\cdot7^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 122500 can be written as 10 × 12250. |
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| 10 can be written as 2 × 5. |
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| 12250 can be written as 10 × 1225. |
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| 10 can be written as 2 × 5. |
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| 1225 can be written as 5 × 245. |
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| 245 can be written as 5 × 49. |
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| 49 can be written as 7 × 7. |
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| The end nodes are the prime factors of the number 122500. |
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