Question
Find the prime factorization of number 222545016.
Answer
The prime factorization of 222545016 is:
$$ 222545016 = 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot101\cdot101\cdot101 $$Which is the same as :
$$ 222545016 = 2^{3}\cdot3^{3}\cdot101^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 222545016 can be written as 2 × 111272508. |
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| 111272508 can be written as 2 × 55636254. |
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| 55636254 can be written as 2 × 27818127. |
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| 27818127 can be written as 3 × 9272709. |
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| 9272709 can be written as 3 × 3090903. |
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| 3090903 can be written as 3 × 1030301. |
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| 1030301 can be written as 101 × 10201. |
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| 10201 can be written as 101 × 101. |
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| The end nodes are the prime factors of the number 222545016. |
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