Question
Find the prime factorization of number 49130.
Answer
The prime factorization of 49130 is:
$$ 49130 = 2\cdot5\cdot17\cdot17\cdot17 $$Which is the same as :
$$ 49130 = 2\cdot5\cdot17^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 49130 can be written as 10 × 4913. |
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| 10 can be written as 2 × 5. |
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| 4913 can be written as 17 × 289. |
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| 289 can be written as 17 × 17. |
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| The end nodes are the prime factors of the number 49130. |
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