Question
Find the prime factorization of number 758192435.
Answer
The prime factorization of 758192435 is:
$$ 758192435 = 5\cdot7\cdot7\cdot11\cdot13\cdot17\cdot19\cdot67 $$Which is the same as :
$$ 758192435 = 5\cdot7^{2}\cdot11\cdot13\cdot17\cdot19\cdot67 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 758192435 can be written as 5 × 151638487. |
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| 151638487 can be written as 7 × 21662641. |
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| 21662641 can be written as 7 × 3094663. |
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| 3094663 can be written as 11 × 281333. |
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| 281333 can be written as 13 × 21641. |
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| 21641 can be written as 17 × 1273. |
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| 1273 can be written as 19 × 67. |
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| The end nodes are the prime factors of the number 758192435. |
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