Question
Find the prime factorization of number 6272.
Answer
The prime factorization of 6272 is:
$$ 6272 = 2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot7\cdot7 $$Which is the same as :
$$ 6272 = 2^{7}\cdot7^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 6272 can be written as 2 × 3136. |
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| 3136 can be written as 2 × 1568. |
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| 1568 can be written as 2 × 784. |
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| 784 can be written as 2 × 392. |
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| 392 can be written as 2 × 196. |
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| 196 can be written as 2 × 98. |
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| 98 can be written as 2 × 49. |
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| 49 can be written as 7 × 7. |
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| The end nodes are the prime factors of the number 6272. |
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