Question
Find the prime factorization of number 5054.
Answer
The prime factorization of 5054 is:
$$ 5054 = 2\cdot7\cdot19\cdot19 $$Which is the same as :
$$ 5054 = 2\cdot7\cdot19^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 5054 can be written as 2 × 2527. |
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| 2527 can be written as 7 × 361. |
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| 361 can be written as 19 × 19. |
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| The end nodes are the prime factors of the number 5054. |
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