SOLUTION: a) express 2430 in prime factors [solved] Answer: 2x3^5x5 b) HENCE, find the smallest integer of M such that 2430M is a perfect square. Help please..? Thanks~ (:

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Question 443636: a) express 2430 in prime factors [solved]
Answer: 2x3^5x5
b) HENCE, find the smallest integer of M such that 2430M is a perfect square.
Help please..? Thanks~ (:

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
for a perfect square, the prime factors must have even exponents (so they can be divided by 2)

M must equal 2x3x5 so that the perfect square is 2^2x3^6x5^2 (and the sqrt is 2x3^3x5)

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