Question
Find the prime factorization of number 5301.
Answer
The prime factorization of 5301 is:
$$ 5301 = 3\cdot3\cdot19\cdot31 $$Which is the same as :
$$ 5301 = 3^{2}\cdot19\cdot31 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 5301 can be written as 3 × 1767. |
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| 1767 can be written as 3 × 589. |
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| 589 can be written as 19 × 31. |
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| The end nodes are the prime factors of the number 5301. |
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