Question
Find the prime factorization of number 122234000.
Answer
The prime factorization of 122234000 is:
$$ 122234000 = 2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot7\cdot8731 $$Which is the same as :
$$ 122234000 = 2^{4}\cdot5^{3}\cdot7\cdot8731 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 122234000 can be written as 10 × 12223400. |
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| 10 can be written as 2 × 5. |
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| 12223400 can be written as 10 × 1222340. |
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| 10 can be written as 2 × 5. |
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| 1222340 can be written as 10 × 122234. |
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| 10 can be written as 2 × 5. |
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| 122234 can be written as 2 × 61117. |
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| 61117 can be written as 7 × 8731. |
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| The end nodes are the prime factors of the number 122234000. |
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