Question
Find the prime factorization of number 167280.
Answer
The prime factorization of 167280 is:
$$ 167280 = 2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot17\cdot41 $$Which is the same as :
$$ 167280 = 2^{4}\cdot3\cdot5\cdot17\cdot41 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 167280 can be written as 10 × 16728. |
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| 10 can be written as 2 × 5. |
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| 16728 can be written as 2 × 8364. |
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| 8364 can be written as 2 × 4182. |
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| 4182 can be written as 2 × 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 167280. |
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