Find the prime factorization of number 384400.
Answer
The prime factorization of 384400 is:
$$ 384400 = 2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot31\cdot31 $$Which is the same as :
$$ 384400 = 2^{4}\cdot5^{2}\cdot31^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 384400 can be written as 10 × 38440. |
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| 10 can be written as 2 × 5. |
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| 38440 can be written as 10 × 3844. |
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| 10 can be written as 2 × 5. |
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| 3844 can be written as 2 × 1922. |
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| 1922 can be written as 2 × 961. |
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| 961 can be written as 31 × 31. |
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| The end nodes are the prime factors of the number 384400. |
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