Question
Find the prime factorization of number 87800.
Answer
The prime factorization of 87800 is:
$$ 87800 = 2\cdot2\cdot2\cdot5\cdot5\cdot439 $$Which is the same as :
$$ 87800 = 2^{3}\cdot5^{2}\cdot439 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 87800 can be written as 10 × 8780. |
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| 10 can be written as 2 × 5. |
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| 8780 can be written as 10 × 878. |
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| 10 can be written as 2 × 5. |
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| 878 can be written as 2 × 439. |
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| The end nodes are the prime factors of the number 87800. |
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