Question
Find the prime factorization of number 6174.
Answer
The prime factorization of 6174 is:
$$ 6174 = 2\cdot3\cdot3\cdot7\cdot7\cdot7 $$Which is the same as :
$$ 6174 = 2\cdot3^{2}\cdot7^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 6174 can be written as 2 × 3087. |
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| 3087 can be written as 3 × 1029. |
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| 1029 can be written as 3 × 343. |
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| 343 can be written as 7 × 49. |
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| 49 can be written as 7 × 7. |
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| The end nodes are the prime factors of the number 6174. |
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