Question
Find the prime factorization of number 1736.
Answer
The prime factorization of 1736 is:
$$ 1736 = 2\cdot2\cdot2\cdot7\cdot31 $$Which is the same as :
$$ 1736 = 2^{3}\cdot7\cdot31 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1736 can be written as 2 × 868. |
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| 868 can be written as 2 × 434. |
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| 434 can be written as 2 × 217. |
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| 217 can be written as 7 × 31. |
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| The end nodes are the prime factors of the number 1736. |
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