Question
Find the prime factorization of number 980220.
Answer
The prime factorization of 980220 is:
$$ 980220 = 2\cdot2\cdot3\cdot5\cdot17\cdot31\cdot31 $$Which is the same as :
$$ 980220 = 2^{2}\cdot3\cdot5\cdot17\cdot31^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 980220 can be written as 10 × 98022. |
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| 10 can be written as 2 × 5. |
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| 98022 can be written as 2 × 49011. |
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| 49011 can be written as 3 × 16337. |
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| 16337 can be written as 17 × 961. |
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| 961 can be written as 31 × 31. |
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| The end nodes are the prime factors of the number 980220. |
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