Question
Find the prime factorization of number 678160.
Answer
The prime factorization of 678160 is:
$$ 678160 = 2\cdot2\cdot2\cdot2\cdot5\cdot7\cdot7\cdot173 $$Which is the same as :
$$ 678160 = 2^{4}\cdot5\cdot7^{2}\cdot173 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 678160 can be written as 10 × 67816. |
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| 10 can be written as 2 × 5. |
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| 67816 can be written as 2 × 33908. |
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| 33908 can be written as 2 × 16954. |
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| 16954 can be written as 2 × 8477. |
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| 8477 can be written as 7 × 1211. |
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| 1211 can be written as 7 × 173. |
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| The end nodes are the prime factors of the number 678160. |
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