Find the prime factorization of number 30527.
Answer
The prime factorization of 30527 is:
$$ 30527 = 7\cdot7\cdot7\cdot89 $$Which is the same as :
$$ 30527 = 7^{3}\cdot89 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 30527 can be written as 7 × 4361. |
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| 4361 can be written as 7 × 623. |
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| 623 can be written as 7 × 89. |
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| The end nodes are the prime factors of the number 30527. |
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