Question
Find the prime factorization of number 804960.
Answer
The prime factorization of 804960 is:
$$ 804960 = 2\cdot2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot13\cdot43 $$Which is the same as :
$$ 804960 = 2^{5}\cdot3^{2}\cdot5\cdot13\cdot43 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 804960 can be written as 10 × 80496. |
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| 10 can be written as 2 × 5. |
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| 80496 can be written as 2 × 40248. |
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| 40248 can be written as 2 × 20124. |
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| 20124 can be written as 2 × 10062. |
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| 10062 can be written as 2 × 5031. |
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| 5031 can be written as 3 × 1677. |
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| 1677 can be written as 3 × 559. |
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| 559 can be written as 13 × 43. |
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| The end nodes are the prime factors of the number 804960. |
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