Question
Find the prime factorization of number 1020100.
Answer
The prime factorization of 1020100 is:
$$ 1020100 = 2\cdot2\cdot5\cdot5\cdot101\cdot101 $$Which is the same as :
$$ 1020100 = 2^{2}\cdot5^{2}\cdot101^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1020100 can be written as 10 × 102010. |
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| 10 can be written as 2 × 5. |
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| 102010 can be written as 10 × 10201. |
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| 10 can be written as 2 × 5. |
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| 10201 can be written as 101 × 101. |
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| The end nodes are the prime factors of the number 1020100. |
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