Question
Find the prime factorization of number 1000000012.
Answer
The prime factorization of 1000000012 is:
$$ 1000000012 = 2\cdot2\cdot11\cdot47\cdot79\cdot6121 $$Which is the same as :
$$ 1000000012 = 2^{2}\cdot11\cdot47\cdot79\cdot6121 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1000000012 can be written as 2 × 500000006. |
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| 500000006 can be written as 2 × 250000003. |
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| 250000003 can be written as 11 × 22727273. |
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| 22727273 can be written as 47 × 483559. |
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| 483559 can be written as 79 × 6121. |
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| The end nodes are the prime factors of the number 1000000012. |
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