Question
Find the prime factorization of number 184920.
Answer
The prime factorization of 184920 is:
$$ 184920 = 2\cdot2\cdot2\cdot3\cdot5\cdot23\cdot67 $$Which is the same as :
$$ 184920 = 2^{3}\cdot3\cdot5\cdot23\cdot67 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 184920 can be written as 10 × 18492. |
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| 10 can be written as 2 × 5. |
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| 18492 can be written as 2 × 9246. |
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| 9246 can be written as 2 × 4623. |
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| 4623 can be written as 3 × 1541. |
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| 1541 can be written as 23 × 67. |
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| The end nodes are the prime factors of the number 184920. |
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