Question
Find the prime factorization of number 498304.
Answer
The prime factorization of 498304 is:
$$ 498304 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot17\cdot229 $$Which is the same as :
$$ 498304 = 2^{7}\cdot17\cdot229 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 498304 can be written as 2 × 249152. |
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| 249152 can be written as 2 × 124576. |
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| 124576 can be written as 2 × 62288. |
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| 62288 can be written as 2 × 31144. |
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| 31144 can be written as 2 × 15572. |
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| 15572 can be written as 2 × 7786. |
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| 7786 can be written as 2 × 3893. |
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| 3893 can be written as 17 × 229. |
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| The end nodes are the prime factors of the number 498304. |
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