Question
Find the prime factorization of number 6724520.
Answer
The prime factorization of 6724520 is:
$$ 6724520 = 2\cdot2\cdot2\cdot5\cdot11\cdot17\cdot29\cdot31 $$Which is the same as :
$$ 6724520 = 2^{3}\cdot5\cdot11\cdot17\cdot29\cdot31 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 6724520 can be written as 10 × 672452. |
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| 10 can be written as 2 × 5. |
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| 672452 can be written as 2 × 336226. |
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| 336226 can be written as 2 × 168113. |
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| 168113 can be written as 11 × 15283. |
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| 15283 can be written as 17 × 899. |
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| 899 can be written as 29 × 31. |
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| The end nodes are the prime factors of the number 6724520. |
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