Question
Find the prime factorization of number 30416.
Answer
The prime factorization of 30416 is:
$$ 30416 = 2\cdot2\cdot2\cdot2\cdot1901 $$Which is the same as :
$$ 30416 = 2^{4}\cdot1901 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30416 can be written as 2 × 15208. |
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| 15208 can be written as 2 × 7604. |
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| 7604 can be written as 2 × 3802. |
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| 3802 can be written as 2 × 1901. |
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| The end nodes are the prime factors of the number 30416. |
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