Question
Find the prime factorization of number 25480.
Answer
The prime factorization of 25480 is:
$$ 25480 = 2\cdot2\cdot2\cdot5\cdot7\cdot7\cdot13 $$Which is the same as :
$$ 25480 = 2^{3}\cdot5\cdot7^{2}\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 25480 can be written as 10 × 2548. |
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| 10 can be written as 2 × 5. |
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| 2548 can be written as 2 × 1274. |
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| 1274 can be written as 2 × 637. |
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| 637 can be written as 7 × 91. |
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| 91 can be written as 7 × 13. |
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| The end nodes are the prime factors of the number 25480. |
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