Question
Find the prime factorization of number 321048.
Answer
The prime factorization of 321048 is:
$$ 321048 = 2\cdot2\cdot2\cdot3\cdot3\cdot7\cdot7\cdot7\cdot13 $$Which is the same as :
$$ 321048 = 2^{3}\cdot3^{2}\cdot7^{3}\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 321048 can be written as 2 × 160524. |
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| 160524 can be written as 2 × 80262. |
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| 80262 can be written as 2 × 40131. |
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| 40131 can be written as 3 × 13377. |
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| 13377 can be written as 3 × 4459. |
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| 4459 can be written as 7 × 637. |
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| 637 can be written as 7 × 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 321048. |
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