Find the prime factorization of number 30303.
Answer
The prime factorization of 30303 is:
$$ 30303 = 3\cdot3\cdot7\cdot13\cdot37 $$Which is the same as :
$$ 30303 = 3^{2}\cdot7\cdot13\cdot37 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30303 can be written as 3 × 10101. |
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| 10101 can be written as 3 × 3367. |
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| 3367 can be written as 7 × 481. |
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| 481 can be written as 13 × 37. |
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| The end nodes are the prime factors of the number 30303. |
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