Question
Find the prime factorization of number 30840.
Answer
The prime factorization of 30840 is:
$$ 30840 = 2\cdot2\cdot2\cdot3\cdot5\cdot257 $$Which is the same as :
$$ 30840 = 2^{3}\cdot3\cdot5\cdot257 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30840 can be written as 10 × 3084. |
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| 10 can be written as 2 × 5. |
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| 3084 can be written as 2 × 1542. |
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| 1542 can be written as 2 × 771. |
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| 771 can be written as 3 × 257. |
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| The end nodes are the prime factors of the number 30840. |
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