Question
Find the prime factorization of number 6448.
Answer
The prime factorization of 6448 is:
$$ 6448 = 2\cdot2\cdot2\cdot2\cdot13\cdot31 $$Which is the same as :
$$ 6448 = 2^{4}\cdot13\cdot31 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 6448 can be written as 2 × 3224. |
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| 3224 can be written as 2 × 1612. |
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| 1612 can be written as 2 × 806. |
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| 806 can be written as 2 × 403. |
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| 403 can be written as 13 × 31. |
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| The end nodes are the prime factors of the number 6448. |
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