A number is - work out the greatest possible value of the number

Question

• an odd multiple of 3
• a common factor of 180 and 750

Answer 1

Find the prime factors of 180 and 750

 

180 = 2²  x  3² x 5  and 750 = 2 x 3 x 5

 

Now look for common factors, one 2 is common to both, one 5 is common to both and 1 3 is common to both so the greatest value would be 2 x 3 x 5 = 30, but this is not an odd multiple of 3, so we have to drop the 2 and finish with 3 x 5 = 15