Question
Find the prime factorization of number 500500.
Answer
The prime factorization of 500500 is:
$$ 500500 = 2\cdot2\cdot5\cdot5\cdot5\cdot7\cdot11\cdot13 $$Which is the same as :
$$ 500500 = 2^{2}\cdot5^{3}\cdot7\cdot11\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 500500 can be written as 10 × 50050. |
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| 10 can be written as 2 × 5. |
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| 50050 can be written as 10 × 5005. |
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| 10 can be written as 2 × 5. |
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| 5005 can be written as 5 × 1001. |
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| 1001 can be written as 7 × 143. |
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| 143 can be written as 11 × 13. |
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| The end nodes are the prime factors of the number 500500. |
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