Question
Find the prime factorization of number 5101000.
Answer
The prime factorization of 5101000 is:
$$ 5101000 = 2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot5101 $$Which is the same as :
$$ 5101000 = 2^{3}\cdot5^{3}\cdot5101 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 5101000 can be written as 10 × 510100. |
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| 10 can be written as 2 × 5. |
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| 510100 can be written as 10 × 51010. |
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| 10 can be written as 2 × 5. |
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| 51010 can be written as 10 × 5101. |
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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 5101000. |
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