Question
Find the prime factorization of number 15379.
Answer
The prime factorization of 15379 is:
$$ 15379 = 7\cdot13\cdot13\cdot13 $$Which is the same as :
$$ 15379 = 7\cdot13^{3} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 15379 can be written as 7 × 2197. |
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| 2197 can be written as 13 × 169. |
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| 169 can be written as 13 × 13. |
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| The end nodes are the prime factors of the number 15379. |
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