Find the prime factorization of number 30324.
Answer
The prime factorization of 30324 is:
$$ 30324 = 2\cdot2\cdot3\cdot7\cdot19\cdot19 $$Which is the same as :
$$ 30324 = 2^{2}\cdot3\cdot7\cdot19^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30324 can be written as 2 × 15162. |
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| 15162 can be written as 2 × 7581. |
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| 7581 can be written as 3 × 2527. |
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| 2527 can be written as 7 × 361. |
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| 361 can be written as 19 × 19. |
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| The end nodes are the prime factors of the number 30324. |
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