Question

Joey has 42marbles from all of his friends. He wants to arrange them in bags in groups that have an equal number of marbles. How many ways can he do this?

Answer 1

And what is your thinking?

Answer 2

how sohuld i know??

Answer 3

[AI-generated answer — Explain Bot]

To determine the number of ways Joey can arrange his marbles into bags with an equal number of marbles, we can find the divisors of the total number of marbles he has, which is 42.

To find the divisors, we'll start with the smallest possible divisor, which is 1, and continue up to the square root of 42. Since 42 is not a perfect square, we don't need to continue beyond the square root.

The divisors of 42 are: 1, 2, 3, 6, 7, 14, 21, and 42.

Each divisor represents a group size that Joey can use to arrange the marbles. So, Joey can arrange his 42 marbles in bags in 8 different ways, using each of these divisors as the group size.