Question
Find the prime factorization of number 15210.
Answer
The prime factorization of 15210 is:
$$ 15210 = 2\cdot3\cdot3\cdot5\cdot13\cdot13 $$Which is the same as :
$$ 15210 = 2\cdot3^{2}\cdot5\cdot13^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 15210 can be written as 10 × 1521. |
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| 10 can be written as 2 × 5. |
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| 1521 can be written as 3 × 507. |
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| 507 can be written as 3 × 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 15210. |
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