Find the prime factorization of number 113256.
Answer
The prime factorization of 113256 is:
$$ 113256 = 2\cdot2\cdot2\cdot3\cdot3\cdot11\cdot11\cdot13 $$Which is the same as :
$$ 113256 = 2^{3}\cdot3^{2}\cdot11^{2}\cdot13 $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 113256 can be written as 2 × 56628. |
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| 56628 can be written as 2 × 28314. |
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| 28314 can be written as 2 × 14157. |
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| 14157 can be written as 3 × 4719. |
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| 4719 can be written as 3 × 1573. |
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| 1573 can be written as 11 × 143. |
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| 143 can be written as 11 × 13. |
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| The end nodes are the prime factors of the number 113256. |
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