Question
Find the prime factorization of number 10503.
Answer
The prime factorization of 10503 is:
$$ 10503 = 3\cdot3\cdot3\cdot389 $$Which is the same as :
$$ 10503 = 3^{3}\cdot389 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 10503 can be written as 3 × 3501. |
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| 3501 can be written as 3 × 1167. |
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| 1167 can be written as 3 × 389. |
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| The end nodes are the prime factors of the number 10503. |
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