Question
Find the prime factorization of number 54750000.
Answer
The prime factorization of 54750000 is:
$$ 54750000 = 2\cdot2\cdot2\cdot2\cdot3\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot73 $$Which is the same as :
$$ 54750000 = 2^{4}\cdot3\cdot5^{6}\cdot73 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 54750000 can be written as 10 × 5475000. |
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| 10 can be written as 2 × 5. |
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| 5475000 can be written as 10 × 547500. |
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| 10 can be written as 2 × 5. |
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| 547500 can be written as 10 × 54750. |
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| 10 can be written as 2 × 5. |
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| 54750 can be written as 10 × 5475. |
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| 10 can be written as 2 × 5. |
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| 5475 can be written as 5 × 1095. |
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| 1095 can be written as 5 × 219. |
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| 219 can be written as 3 × 73. |
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| The end nodes are the prime factors of the number 54750000. |
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