Question
Find the prime factorization of number 30360.
Answer
The prime factorization of 30360 is:
$$ 30360 = 2\cdot2\cdot2\cdot3\cdot5\cdot11\cdot23 $$Which is the same as :
$$ 30360 = 2^{3}\cdot3\cdot5\cdot11\cdot23 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30360 can be written as 10 × 3036. |
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| 10 can be written as 2 × 5. |
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| 3036 can be written as 2 × 1518. |
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| 1518 can be written as 2 × 759. |
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| 759 can be written as 3 × 253. |
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| 253 can be written as 11 × 23. |
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| The end nodes are the prime factors of the number 30360. |
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