Question

What
is
the
difference
between
the largest two-digit
and the largest one-
digit factor of 180?​

Answer 1

The difference between the largest two-digit and the largest one-digit factor of 180 is 81.

Step-by-step explanation:

To Find

Difference between largest two-digit and the largest one digit factor of 180.

Method Used

Prime Factorization Method.

We can find the factors of 180 by the prime factorization method.

The factors which we are going to get are:

1,2,3,4,5,6,9,10,12,15,20,30,36,45,60,90,180.

To understand that we have a complete number of factors we can check by multiplying the factor with its corresponding factor that will give the result as 180. For eg: 4X45, 12X15, and so on.

We can clearly see that the largest two-digit number factor of 180 is 90 and the largest one-digit factor of 180 is 9.

Therefore, their difference is going to be,

=      90-9

which is equal to 81.