Question
Find the prime factorization of number 210106224.
Answer
The prime factorization of 210106224 is:
$$ 210106224 = 2\cdot2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot3\cdot162119 $$Which is the same as :
$$ 210106224 = 2^{4}\cdot3^{4}\cdot162119 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 210106224 can be written as 2 × 105053112. |
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| 105053112 can be written as 2 × 52526556. |
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| 52526556 can be written as 2 × 26263278. |
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| 26263278 can be written as 2 × 13131639. |
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| 13131639 can be written as 3 × 4377213. |
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| 4377213 can be written as 3 × 1459071. |
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| 1459071 can be written as 3 × 486357. |
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| 486357 can be written as 3 × 162119. |
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| The end nodes are the prime factors of the number 210106224. |
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