the numbers 2, 3, 5, 7, 11, and 13 are not factors of 173. explain why it is possible to conclude that 173 is prime without checking for more prime factors.

Respuesta :

173 would be dividable by at least one prime number less than or equal to 173 13.2 if it weren't a prime number. Since 173 cannot be divided evenly by 2, 3, 5, 7, 11, or 13, we know it is a prime number.

173 is a prime number.

Prime factorization: 173 is prime.

The exponent of prime number 173 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 173 has exactly 2 factors.

Factors of 173: 1, 173

Factor pairs: 173 = 1 x 173

173 has no square factors that allow its square root to be simplified. √173 ≈ 13.1529

If 173 were not a prime number, then it would be divisible by at least one prime number less than or equal to √173 ≈ 13.2. We know that 173 is a prime number since it cannot be divided by 2, 3, 5, 7, 11, or 13 in an equal amount.

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