Question
Find the prime factorization of number 2408.
Answer
The prime factorization of 2408 is:
$$ 2408 = 2\cdot2\cdot2\cdot7\cdot43 $$Which is the same as :
$$ 2408 = 2^{3}\cdot7\cdot43 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 2408 can be written as 2 × 1204. |
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| 1204 can be written as 2 × 602. |
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| 602 can be written as 2 × 301. |
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| 301 can be written as 7 × 43. |
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| The end nodes are the prime factors of the number 2408. |
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