Question
Find the prime factorization of number 22909068.
Answer
The prime factorization of 22909068 is:
$$ 22909068 = 2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot3\cdot7\cdot7\cdot13\cdot37 $$Which is the same as :
$$ 22909068 = 2^{2}\cdot3^{5}\cdot7^{2}\cdot13\cdot37 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 22909068 can be written as 2 × 11454534. |
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| 11454534 can be written as 2 × 5727267. |
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| 5727267 can be written as 3 × 1909089. |
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| 1909089 can be written as 3 × 636363. |
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| 636363 can be written as 3 × 212121. |
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| 212121 can be written as 3 × 70707. |
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| 70707 can be written as 3 × 23569. |
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| 23569 can be written as 7 × 3367. |
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| 3367 can be written as 7 × 481. |
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| 481 can be written as 13 × 37. |
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| The end nodes are the prime factors of the number 22909068. |
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