Question
Find the prime factorization of number 30520.
Answer
The prime factorization of 30520 is:
$$ 30520 = 2\cdot2\cdot2\cdot5\cdot7\cdot109 $$Which is the same as :
$$ 30520 = 2^{3}\cdot5\cdot7\cdot109 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30520 can be written as 10 × 3052. |
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| 10 can be written as 2 × 5. |
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| 3052 can be written as 2 × 1526. |
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| 1526 can be written as 2 × 763. |
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| 763 can be written as 7 × 109. |
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| The end nodes are the prime factors of the number 30520. |
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