Questions The numbers 30 and 126, written as products of their prime factors, are 30 = 2x3x5 and 126 =23'7. Find (a) the largest integer which is a factor of 30 and 126. (b) the smallest integer k, such that 126k is a perfect cube, (c) the smallest positive integer value of n for which 30n is a multiple of 126.

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.

step-by-step explanation:

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