Question
Find the prime factorization of number 9780.
Answer
The prime factorization of 9780 is:
$$ 9780 = 2\cdot2\cdot3\cdot5\cdot163 $$Which is the same as :
$$ 9780 = 2^{2}\cdot3\cdot5\cdot163 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 9780 can be written as 10 × 978. |
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| 10 can be written as 2 × 5. |
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| 978 can be written as 2 × 489. |
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| 489 can be written as 3 × 163. |
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| The end nodes are the prime factors of the number 9780. |
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