Question
Find the prime factorization of number 150552.
Answer
The prime factorization of 150552 is:
$$ 150552 = 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot17\cdot41 $$Which is the same as :
$$ 150552 = 2^{3}\cdot3^{3}\cdot17\cdot41 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 150552 can be written as 2 × 75276. |
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| 75276 can be written as 2 × 37638. |
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| 37638 can be written as 2 × 18819. |
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| 18819 can be written as 3 × 6273. |
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| 6273 can be written as 3 × 2091. |
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| 2091 can be written as 3 × 697. |
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| 697 can be written as 17 × 41. |
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| The end nodes are the prime factors of the number 150552. |
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