Question
Find the prime factorization of number 636363636.
Answer
The prime factorization of 636363636 is:
$$ 636363636 = 2\cdot2\cdot3\cdot857\cdot61879 $$Which is the same as :
$$ 636363636 = 2^{2}\cdot3\cdot857\cdot61879 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 636363636 can be written as 2 × 318181818. |
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| 318181818 can be written as 2 × 159090909. |
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| 159090909 can be written as 3 × 53030303. |
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| 53030303 can be written as 857 × 61879. |
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| The end nodes are the prime factors of the number 636363636. |
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