SOLUTION: A number P has 9 factors whereas another number Q has 10 factors. If the lowest common multiple of P and Q is 2800, find the number Q. thank you !

Question 1137874: A number P has 9 factors whereas another number Q has 10 factors. If the lowest
common multiple of P and Q is 2800, find the number Q.
thank you !
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.

ANSWERS


Q = .    The factors are  1, 2, 4, 8, 16, 7, 14, 28, 56, 112   (in all, 10 factors).


P = .   The factors are  1, 2, 4, 5, 10, 20, 25, 50, 100      (in all, 9 factors).


CHECK.       The lowest common multiple of P and Q is  2^4*5^2*7 = 2800.   ! Correct !

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