Question
Find the prime factorization of number 3174.
Answer
The prime factorization of 3174 is:
$$ 3174 = 2\cdot3\cdot23\cdot23 $$Which is the same as :
$$ 3174 = 2\cdot3\cdot23^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3174 can be written as 2 × 1587. |
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| 1587 can be written as 3 × 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 3174. |
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