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Given that the number 8881 is not a prime number, prove that it has a prime factor that is at most 89.

User Lsdr
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Answer with Step-by-step explanation:

We are given that a number 8881 is not a prime number

We have to prove that it has given a prime factor that is at most 89.

In order to prove that given number has highest prime factor is 89 we will find the prime factorization of given number.


8881=83* 107

Therefore, 8881 is not a prime number and it has two factors 83 and 107.

83 is a prime factor of 8881 which is less than 89.We have to find a prime factor of 8881 which is atmost 89.

Therefore, 83 is that prime factor .

Hence, 8881 has a prime factor that is at most 89.

User Gdaras
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