Question
Find the prime factorization of number 22502250.
Answer
The prime factorization of 22502250 is:
$$ 22502250 = 2\cdot3\cdot3\cdot5\cdot5\cdot5\cdot73\cdot137 $$Which is the same as :
$$ 22502250 = 2\cdot3^{2}\cdot5^{3}\cdot73\cdot137 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 22502250 can be written as 10 × 2250225. |
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| 10 can be written as 2 × 5. |
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| 2250225 can be written as 5 × 450045. |
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| 450045 can be written as 5 × 90009. |
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| 90009 can be written as 3 × 30003. |
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| 30003 can be written as 3 × 10001. |
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| 10001 can be written as 73 × 137. |
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| The end nodes are the prime factors of the number 22502250. |
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