Question
Find the prime factorization of number 240703872.
Answer
The prime factorization of 240703872 is:
$$ 240703872 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot626833 $$Which is the same as :
$$ 240703872 = 2^{7}\cdot3\cdot626833 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 240703872 can be written as 2 × 120351936. |
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| 120351936 can be written as 2 × 60175968. |
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| 60175968 can be written as 2 × 30087984. |
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| 30087984 can be written as 2 × 15043992. |
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| 15043992 can be written as 2 × 7521996. |
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| 7521996 can be written as 2 × 3760998. |
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| 3760998 can be written as 2 × 1880499. |
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| 1880499 can be written as 3 × 626833. |
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| The end nodes are the prime factors of the number 240703872. |
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