Question
Find the prime factorization of number 46200.
Answer
The prime factorization of 46200 is:
$$ 46200 = 2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot7\cdot11 $$Which is the same as :
$$ 46200 = 2^{3}\cdot3\cdot5^{2}\cdot7\cdot11 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 46200 can be written as 10 × 4620. |
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| 10 can be written as 2 × 5. |
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| 4620 can be written as 10 × 462. |
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| 10 can be written as 2 × 5. |
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| 462 can be written as 2 × 231. |
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| 231 can be written as 3 × 77. |
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| 77 can be written as 7 × 11. |
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| The end nodes are the prime factors of the number 46200. |
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