Question
Find the prime factorization of number 480249.
Answer
The prime factorization of 480249 is:
$$ 480249 = 3\cdot3\cdot3\cdot3\cdot7\cdot7\cdot11\cdot11 $$Which is the same as :
$$ 480249 = 3^{4}\cdot7^{2}\cdot11^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 480249 can be written as 3 × 160083. |
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| 160083 can be written as 3 × 53361. |
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| 53361 can be written as 3 × 17787. |
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| 17787 can be written as 3 × 5929. |
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| 5929 can be written as 7 × 847. |
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| 847 can be written as 7 × 121. |
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| 121 can be written as 11 × 11. |
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| The end nodes are the prime factors of the number 480249. |
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