What are the factors and prime factors of 173?

Answer 1

173 is a Prime number. The only two factors of a prime number are 1 and itself.

The two factors of 173 are 1 and 173. There are only two factors of a prime number.

The only factor pair of 173 is 1 x 173. There is only one factor pair of a prime number.

The proper factors of 173 are only 1 or,

if the definition you are using excludes 1, there are none.

The only prime factor of 173 is 173. There is only one prime factor of a prime number - itself.

The distinct prime factor (listing each prime factor only once) of 173 is also 173.

The prime factorization of 173 is 173. In some cases, to emphasize that it is prime, you might write the prime factorization as 1 x 173.

NOTE: There cannot be common factors, a greatest common factor, or a least common multiple because "common" refers to factors or multiples that two or more numbers have in common.

Determining the factors: You can use the divisibility rules to check 173.

173 cannot be divided by 2 (it's not even).

173 cannot be divided by 3 (its digits sum to 11 which is not a multiple of 3).

173 cannot be divided by 5 (it doesn't end in 5 or 0).

173 cannot be divided by 7 (17 - 2x3 is 11 which does not divide by 7).

173 cannot be divided by 11 (17 - 1x3 is 14 which does not divide by 11).

173 cannot be divided by 13 (just try it).

And 14 x 14 is already 196 which is bigger than 173.

So 173 has no factors other than 1 and 173 itself.