Question
Find the prime factorization of number 148035889.
Answer
The prime factorization of 148035889 is:
$$ 148035889 = 23\cdot23\cdot23\cdot23\cdot23\cdot23 $$Which is the same as :
$$ 148035889 = 23^{6} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 148035889 can be written as 23 × 6436343. |
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| 6436343 can be written as 23 × 279841. |
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| 279841 can be written as 23 × 12167. |
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| 12167 can be written as 23 × 529. |
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| 529 can be written as 23 × 23. |
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| The end nodes are the prime factors of the number 148035889. |
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