Question
Find the prime factorization of number 2009888.
Answer
The prime factorization of 2009888 is:
$$ 2009888 = 2\cdot2\cdot2\cdot2\cdot2\cdot107\cdot587 $$Which is the same as :
$$ 2009888 = 2^{5}\cdot107\cdot587 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 2009888 can be written as 2 × 1004944. |
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| 1004944 can be written as 2 × 502472. |
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| 502472 can be written as 2 × 251236. |
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| 251236 can be written as 2 × 125618. |
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| 125618 can be written as 2 × 62809. |
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| 62809 can be written as 107 × 587. |
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| The end nodes are the prime factors of the number 2009888. |
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