Question
Find the prime factorization of number 1170.
Answer
The prime factorization of 1170 is:
$$ 1170 = 2\cdot3\cdot3\cdot5\cdot13 $$Which is the same as :
$$ 1170 = 2\cdot3^{2}\cdot5\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1170 can be written as 10 × 117. |
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| 10 can be written as 2 × 5. |
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| 117 can be written as 3 × 39. |
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| 39 can be written as 3 × 13. |
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| The end nodes are the prime factors of the number 1170. |
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