Question
Find the prime factorization of number 30700.
Answer
The prime factorization of 30700 is:
$$ 30700 = 2\cdot2\cdot5\cdot5\cdot307 $$Which is the same as :
$$ 30700 = 2^{2}\cdot5^{2}\cdot307 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30700 can be written as 10 × 3070. |
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| 10 can be written as 2 × 5. |
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| 3070 can be written as 10 × 307. |
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| 10 can be written as 2 × 5. |
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| The end nodes are the prime factors of the number 30700. |
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