Find the prime factorization of number 316258250.
Answer
The prime factorization of 316258250 is:
$$ 316258250 = 2\cdot5\cdot5\cdot5\cdot7\cdot7\cdot11\cdot2347 $$Which is the same as :
$$ 316258250 = 2\cdot5^{3}\cdot7^{2}\cdot11\cdot2347 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 316258250 can be written as 10 × 31625825. |
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| 10 can be written as 2 × 5. |
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| 31625825 can be written as 5 × 6325165. |
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| 6325165 can be written as 5 × 1265033. |
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| 1265033 can be written as 7 × 180719. |
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| 180719 can be written as 7 × 25817. |
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| 25817 can be written as 11 × 2347. |
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| The end nodes are the prime factors of the number 316258250. |
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