Question
Find the prime factorization of number 3496.
Answer
The prime factorization of 3496 is:
$$ 3496 = 2\cdot2\cdot2\cdot19\cdot23 $$Which is the same as :
$$ 3496 = 2^{3}\cdot19\cdot23 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3496 can be written as 2 × 1748. |
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| 1748 can be written as 2 × 874. |
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| 874 can be written as 2 × 437. |
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| 437 can be written as 19 × 23. |
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| The end nodes are the prime factors of the number 3496. |
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