Question
Find the prime factorization of number 158301.
Answer
The prime factorization of 158301 is:
$$ 158301 = 3\cdot3\cdot3\cdot11\cdot13\cdot41 $$Which is the same as :
$$ 158301 = 3^{3}\cdot11\cdot13\cdot41 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 158301 can be written as 3 × 52767. |
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| 52767 can be written as 3 × 17589. |
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| 17589 can be written as 3 × 5863. |
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| 5863 can be written as 11 × 533. |
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| 533 can be written as 13 × 41. |
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| The end nodes are the prime factors of the number 158301. |
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