Question
Find the prime factorization of number 1001001001.
Answer
The prime factorization of 1001001001 is:
$$ 1001001001 = 7\cdot11\cdot13\cdot101\cdot9901 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1001001001 can be written as 7 × 143000143. |
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| 143000143 can be written as 11 × 13000013. |
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| 13000013 can be written as 13 × 1000001. |
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| 1000001 can be written as 101 × 9901. |
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| The end nodes are the prime factors of the number 1001001001. |
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