Question
Find the prime factorization of number 59280.
Answer
The prime factorization of 59280 is:
$$ 59280 = 2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot13\cdot19 $$Which is the same as :
$$ 59280 = 2^{4}\cdot3\cdot5\cdot13\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 59280 can be written as 10 × 5928. |
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| 10 can be written as 2 × 5. |
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| 5928 can be written as 2 × 2964. |
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| 2964 can be written as 2 × 1482. |
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| 1482 can be written as 2 × 741. |
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| 741 can be written as 3 × 247. |
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| 247 can be written as 13 × 19. |
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| The end nodes are the prime factors of the number 59280. |
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