Question
Find the prime factorization of number 49002831.
Answer
The prime factorization of 49002831 is:
$$ 49002831 = 3\cdot3\cdot41\cdot41\cdot41\cdot79 $$Which is the same as :
$$ 49002831 = 3^{2}\cdot41^{3}\cdot79 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 49002831 can be written as 3 × 16334277. |
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| 16334277 can be written as 3 × 5444759. |
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| 5444759 can be written as 41 × 132799. |
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| 132799 can be written as 41 × 3239. |
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| 3239 can be written as 41 × 79. |
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| The end nodes are the prime factors of the number 49002831. |
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