If m is a positive integer, what is the least value of m for which 180 is a factor of 105m

Step-by-step explanation:

If 180 is the factor of 105 m, then the factors of 180 should also be the factors of 105 m.

Factors of 180 = 15 * 12

Factors of 105 m = 15 * 7 * m

The least value of m is  = 12

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x