Question
Find the prime factorization of number 474552.
Answer
The prime factorization of 474552 is:
$$ 474552 = 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot13\cdot13\cdot13 $$Which is the same as :
$$ 474552 = 2^{3}\cdot3^{3}\cdot13^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 474552 can be written as 2 × 237276. |
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| 237276 can be written as 2 × 118638. |
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| 118638 can be written as 2 × 59319. |
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| 59319 can be written as 3 × 19773. |
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| 19773 can be written as 3 × 6591. |
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| 6591 can be written as 3 × 2197. |
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| 2197 can be written as 13 × 169. |
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| 169 can be written as 13 × 13. |
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| The end nodes are the prime factors of the number 474552. |
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