Question
Find the prime factorization of number 3367000.
Answer
The prime factorization of 3367000 is:
$$ 3367000 = 2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot7\cdot13\cdot37 $$Which is the same as :
$$ 3367000 = 2^{3}\cdot5^{3}\cdot7\cdot13\cdot37 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 3367000 can be written as 10 × 336700. |
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| 10 can be written as 2 × 5. |
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| 336700 can be written as 10 × 33670. |
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| 10 can be written as 2 × 5. |
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| 33670 can be written as 10 × 3367. |
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| 10 can be written as 2 × 5. |
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| 3367 can be written as 7 × 481. |
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| 481 can be written as 13 × 37. |
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| The end nodes are the prime factors of the number 3367000. |
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