Question
Find the prime factorization of number 30740.
Answer
The prime factorization of 30740 is:
$$ 30740 = 2\cdot2\cdot5\cdot29\cdot53 $$Which is the same as :
$$ 30740 = 2^{2}\cdot5\cdot29\cdot53 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30740 can be written as 10 × 3074. |
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| 10 can be written as 2 × 5. |
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| 3074 can be written as 2 × 1537. |
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| 1537 can be written as 29 × 53. |
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| The end nodes are the prime factors of the number 30740. |
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