Find the prime factorization of number 85800.
Answer
The prime factorization of 85800 is:
$$ 85800 = 2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot11\cdot13 $$Which is the same as :
$$ 85800 = 2^{3}\cdot3\cdot5^{2}\cdot11\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 85800 can be written as 10 × 8580. |
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| 10 can be written as 2 × 5. |
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| 8580 can be written as 10 × 858. |
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| 10 can be written as 2 × 5. |
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| 858 can be written as 2 × 429. |
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| 429 can be written as 3 × 143. |
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| 143 can be written as 11 × 13. |
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| The end nodes are the prime factors of the number 85800. |
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