Which number is both a factor of 450 and a multiple of 25? 

Solution:

Factors are numbers that divide the number completely with the remainder 0 whereas multiples are the numbers that we get when the number is multiplied by another number.

Factors of 450 are 1,  2,  3,  5,  6,  9,  10,  15,  18,  25,  30,  45,  50,  75,  90,  150,  225, 450.

Multiples of 25 are 25, 50, 75, 100, 125, 150, 175, 200, 225,  250, 275, 300, 325, 350, 375, 400, 425, 450.

So, the common numbers that are both factors of 450 and multiples of 25 are 25, 50, 75, 150, 225, and 450.

So, the numbers are 25, 50, 75, 150, 225, and 450.

Which number is both a factor of 450 and a multiple of 25? 

Summary:

The numbers are 25, 50, 75, 150, 225, and 450.