Question
Find the prime factorization of number 1035.
Answer
The prime factorization of 1035 is:
$$ 1035 = 3\cdot3\cdot5\cdot23 $$Which is the same as :
$$ 1035 = 3^{2}\cdot5\cdot23 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1035 can be written as 5 × 207. |
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| 207 can be written as 3 × 69. |
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| 69 can be written as 3 × 23. |
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| The end nodes are the prime factors of the number 1035. |
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