Question
Find the prime factorization of number 2266400.
Answer
The prime factorization of 2266400 is:
$$ 2266400 = 2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot2833 $$Which is the same as :
$$ 2266400 = 2^{5}\cdot5^{2}\cdot2833 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 2266400 can be written as 10 × 226640. |
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| 10 can be written as 2 × 5. |
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| 226640 can be written as 10 × 22664. |
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| 10 can be written as 2 × 5. |
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| 22664 can be written as 2 × 11332. |
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| 11332 can be written as 2 × 5666. |
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| 5666 can be written as 2 × 2833. |
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| The end nodes are the prime factors of the number 2266400. |
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