Question
Find the prime factorization of number 4550000000.
Answer
The prime factorization of 4550000000 is:
$$ 4550000000 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot5\cdot7\cdot13 $$Which is the same as :
$$ 4550000000 = 2^{7}\cdot5^{8}\cdot7\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 4550000000 can be written as 10 × 455000000. |
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| 10 can be written as 2 × 5. |
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| 455000000 can be written as 10 × 45500000. |
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| 10 can be written as 2 × 5. |
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| 45500000 can be written as 10 × 4550000. |
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| 10 can be written as 2 × 5. |
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| 4550000 can be written as 10 × 455000. |
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| 10 can be written as 2 × 5. |
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| 455000 can be written as 10 × 45500. |
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| 10 can be written as 2 × 5. |
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| 45500 can be written as 10 × 4550. |
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| 10 can be written as 2 × 5. |
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| 4550 can be written as 10 × 455. |
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| 10 can be written as 2 × 5. |
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| 455 can be written as 5 × 91. |
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| 91 can be written as 7 × 13. |
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| The end nodes are the prime factors of the number 4550000000. |
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