Question
Find the prime factorization of number 389940.
Answer
The prime factorization of 389940 is:
$$ 389940 = 2\cdot2\cdot3\cdot5\cdot67\cdot97 $$Which is the same as :
$$ 389940 = 2^{2}\cdot3\cdot5\cdot67\cdot97 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 389940 can be written as 10 × 38994. |
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| 10 can be written as 2 × 5. |
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| 38994 can be written as 2 × 19497. |
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| 19497 can be written as 3 × 6499. |
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| 6499 can be written as 67 × 97. |
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| The end nodes are the prime factors of the number 389940. |
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