Question
Find the prime factorization of number 456976.
Answer
The prime factorization of 456976 is:
$$ 456976 = 2\cdot2\cdot2\cdot2\cdot13\cdot13\cdot13\cdot13 $$Which is the same as :
$$ 456976 = 2^{4}\cdot13^{4} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 456976 can be written as 2 × 228488. |
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| 228488 can be written as 2 × 114244. |
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| 114244 can be written as 2 × 57122. |
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| 57122 can be written as 2 × 28561. |
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| 28561 can be written as 13 × 2197. |
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| 2197 can be written as 13 × 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 456976. |
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