Question
Find the prime factorization of number 30780.
Answer
The prime factorization of 30780 is:
$$ 30780 = 2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot5\cdot19 $$Which is the same as :
$$ 30780 = 2^{2}\cdot3^{4}\cdot5\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30780 can be written as 10 × 3078. |
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| 10 can be written as 2 × 5. |
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| 3078 can be written as 2 × 1539. |
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| 1539 can be written as 3 × 513. |
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| 513 can be written as 3 × 171. |
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| 171 can be written as 3 × 57. |
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| 57 can be written as 3 × 19. |
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| The end nodes are the prime factors of the number 30780. |
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