Question
Find the prime factorization of number 256036.
Answer
The prime factorization of 256036 is:
$$ 256036 = 2\cdot2\cdot11\cdot11\cdot23\cdot23 $$Which is the same as :
$$ 256036 = 2^{2}\cdot11^{2}\cdot23^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 256036 can be written as 2 × 128018. |
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| 128018 can be written as 2 × 64009. |
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| 64009 can be written as 11 × 5819. |
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| 5819 can be written as 11 × 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 256036. |
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