Question
Find the prime factorization of number 33150.
Answer
The prime factorization of 33150 is:
$$ 33150 = 2\cdot3\cdot5\cdot5\cdot13\cdot17 $$Which is the same as :
$$ 33150 = 2\cdot3\cdot5^{2}\cdot13\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 33150 can be written as 10 × 3315. |
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| 10 can be written as 2 × 5. |
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| 3315 can be written as 5 × 663. |
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| 663 can be written as 3 × 221. |
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| 221 can be written as 13 × 17. |
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| The end nodes are the prime factors of the number 33150. |
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