Question
Find the prime factorization of number 552123.
Answer
The prime factorization of 552123 is:
$$ 552123 = 3\cdot3\cdot3\cdot11\cdot11\cdot13\cdot13 $$Which is the same as :
$$ 552123 = 3^{3}\cdot11^{2}\cdot13^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 552123 can be written as 3 × 184041. |
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| 184041 can be written as 3 × 61347. |
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| 61347 can be written as 3 × 20449. |
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| 20449 can be written as 11 × 1859. |
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| 1859 can be written as 11 × 169. |
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| 169 can be written as 13 × 13. |
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| The end nodes are the prime factors of the number 552123. |
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