Question
Find the prime factorization of number 221848.
Answer
The prime factorization of 221848 is:
$$ 221848 = 2\cdot2\cdot2\cdot11\cdot2521 $$Which is the same as :
$$ 221848 = 2^{3}\cdot11\cdot2521 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 221848 can be written as 2 × 110924. |
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| 110924 can be written as 2 × 55462. |
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| 55462 can be written as 2 × 27731. |
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| 27731 can be written as 11 × 2521. |
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| The end nodes are the prime factors of the number 221848. |
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