Question
Find the prime factorization of number 172360.
Answer
The prime factorization of 172360 is:
$$ 172360 = 2\cdot2\cdot2\cdot5\cdot31\cdot139 $$Which is the same as :
$$ 172360 = 2^{3}\cdot5\cdot31\cdot139 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 172360 can be written as 10 × 17236. |
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| 10 can be written as 2 × 5. |
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| 17236 can be written as 2 × 8618. |
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| 8618 can be written as 2 × 4309. |
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| 4309 can be written as 31 × 139. |
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| The end nodes are the prime factors of the number 172360. |
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