Question
Find the prime factorization of number 405224.
Answer
The prime factorization of 405224 is:
$$ 405224 = 2\cdot2\cdot2\cdot37\cdot37\cdot37 $$Which is the same as :
$$ 405224 = 2^{3}\cdot37^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 405224 can be written as 2 × 202612. |
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| 202612 can be written as 2 × 101306. |
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| 101306 can be written as 2 × 50653. |
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| 50653 can be written as 37 × 1369. |
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| 1369 can be written as 37 × 37. |
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| The end nodes are the prime factors of the number 405224. |
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