Question
Find the prime factorization of number 28056028.
Answer
The prime factorization of 28056028 is:
$$ 28056028 = 2\cdot2\cdot7\cdot7\cdot7\cdot11\cdot11\cdot13\cdot13 $$Which is the same as :
$$ 28056028 = 2^{2}\cdot7^{3}\cdot11^{2}\cdot13^{2} $$Explanation
Prime factorization can be nicely visualized by creating a factorization tree.
| 28056028 can be written as 2 × 14028014. |
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| 14028014 can be written as 2 × 7014007. |
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| 7014007 can be written as 7 × 1002001. |
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| 1002001 can be written as 7 × 143143. |
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| 143143 can be written as 7 × 20449. |
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| 20449 can be written as 11 × 1859. |
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| 1859 can be written as 11 × 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 28056028. |
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