Question
Find the prime factorization of number 2247000.
Answer
The prime factorization of 2247000 is:
$$ 2247000 = 2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot5\cdot7\cdot107 $$Which is the same as :
$$ 2247000 = 2^{3}\cdot3\cdot5^{3}\cdot7\cdot107 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 2247000 can be written as 10 × 224700. |
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| 10 can be written as 2 × 5. |
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| 224700 can be written as 10 × 22470. |
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| 10 can be written as 2 × 5. |
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| 22470 can be written as 10 × 2247. |
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| 10 can be written as 2 × 5. |
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| 2247 can be written as 3 × 749. |
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| 749 can be written as 7 × 107. |
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| The end nodes are the prime factors of the number 2247000. |
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