Question
Find the prime factorization of number 1020.
Answer
The prime factorization of 1020 is:
$$ 1020 = 2\cdot2\cdot3\cdot5\cdot17 $$Which is the same as :
$$ 1020 = 2^{2}\cdot3\cdot5\cdot17 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1020 can be written as 10 × 102. |
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| 10 can be written as 2 × 5. |
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| 102 can be written as 2 × 51. |
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| 51 can be written as 3 × 17. |
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| The end nodes are the prime factors of the number 1020. |
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