Question
Find the prime factorization of number 7980.
Answer
The prime factorization of 7980 is:
$$ 7980 = 2\cdot2\cdot3\cdot5\cdot7\cdot19 $$Which is the same as :
$$ 7980 = 2^{2}\cdot3\cdot5\cdot7\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 7980 can be written as 10 × 798. |
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| 10 can be written as 2 × 5. |
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| 798 can be written as 2 × 399. |
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| 399 can be written as 3 × 133. |
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| 133 can be written as 7 × 19. |
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| The end nodes are the prime factors of the number 7980. |
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