Find the prime factorization of number 400680.
Answer
The prime factorization of 400680 is:
$$ 400680 = 2\cdot2\cdot2\cdot3\cdot3\cdot3\cdot5\cdot7\cdot53 $$Which is the same as :
$$ 400680 = 2^{3}\cdot3^{3}\cdot5\cdot7\cdot53 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 400680 can be written as 10 × 40068. |
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| 10 can be written as 2 × 5. |
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| 40068 can be written as 2 × 20034. |
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| 20034 can be written as 2 × 10017. |
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| 10017 can be written as 3 × 3339. |
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| 3339 can be written as 3 × 1113. |
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| 1113 can be written as 3 × 371. |
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| 371 can be written as 7 × 53. |
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| The end nodes are the prime factors of the number 400680. |
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