Question
Find the prime factorization of number 127305.
Answer
The prime factorization of 127305 is:
$$ 127305 = 3\cdot3\cdot3\cdot5\cdot23\cdot41 $$Which is the same as :
$$ 127305 = 3^{3}\cdot5\cdot23\cdot41 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 127305 can be written as 5 × 25461. |
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| 25461 can be written as 3 × 8487. |
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| 8487 can be written as 3 × 2829. |
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| 2829 can be written as 3 × 943. |
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| 943 can be written as 23 × 41. |
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| The end nodes are the prime factors of the number 127305. |
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