Question
Find the prime factorization of number 567567.
Answer
The prime factorization of 567567 is:
$$ 567567 = 3\cdot3\cdot3\cdot3\cdot7\cdot7\cdot11\cdot13 $$Which is the same as :
$$ 567567 = 3^{4}\cdot7^{2}\cdot11\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 567567 can be written as 3 × 189189. |
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| 189189 can be written as 3 × 63063. |
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| 63063 can be written as 3 × 21021. |
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| 21021 can be written as 3 × 7007. |
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| 7007 can be written as 7 × 1001. |
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| 1001 can be written as 7 × 143. |
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| 143 can be written as 11 × 13. |
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| The end nodes are the prime factors of the number 567567. |
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