Question
Find the prime factorization of number 148140.
Answer
The prime factorization of 148140 is:
$$ 148140 = 2\cdot2\cdot3\cdot3\cdot5\cdot823 $$Which is the same as :
$$ 148140 = 2^{2}\cdot3^{2}\cdot5\cdot823 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 148140 can be written as 10 × 14814. |
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| 10 can be written as 2 × 5. |
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| 14814 can be written as 2 × 7407. |
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| 7407 can be written as 3 × 2469. |
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| 2469 can be written as 3 × 823. |
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| The end nodes are the prime factors of the number 148140. |
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