Question
Find the prime factorization of number 332500.
Answer
The prime factorization of 332500 is:
$$ 332500 = 2\cdot2\cdot5\cdot5\cdot5\cdot5\cdot7\cdot19 $$Which is the same as :
$$ 332500 = 2^{2}\cdot5^{4}\cdot7\cdot19 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 332500 can be written as 10 × 33250. |
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| 10 can be written as 2 × 5. |
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| 33250 can be written as 10 × 3325. |
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| 10 can be written as 2 × 5. |
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| 3325 can be written as 5 × 665. |
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| 665 can be written as 5 × 133. |
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| 133 can be written as 7 × 19. |
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| The end nodes are the prime factors of the number 332500. |
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