Question
Find the prime factorization of number 1133904600.
Answer
The prime factorization of 1133904600 is:
$$ 1133904600 = 2\cdot2\cdot2\cdot3\cdot3\cdot5\cdot5\cdot23\cdot61\cdot449 $$Which is the same as :
$$ 1133904600 = 2^{3}\cdot3^{2}\cdot5^{2}\cdot23\cdot61\cdot449 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 1133904600 can be written as 10 × 113390460. |
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| 10 can be written as 2 × 5. |
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| 113390460 can be written as 10 × 11339046. |
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| 10 can be written as 2 × 5. |
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| 11339046 can be written as 2 × 5669523. |
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| 5669523 can be written as 3 × 1889841. |
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| 1889841 can be written as 3 × 629947. |
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| 629947 can be written as 23 × 27389. |
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| 27389 can be written as 61 × 449. |
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| The end nodes are the prime factors of the number 1133904600. |
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