Question

Farmer Jonson is putting together vegetable baskets. He has 270 carrots and 180 beets. What is the largest number of baskets he can put together so that he can have the same number of carrots in each basket and the same number of beets in each basket? (Hint: to be able to distribute 180 beets into baskets equally, the number of baskets must be a factor of 180. Likewise, in order to be able to distribute the 270 carrots into the same number of baskets equally, the number of baskets must also be a factor of 270.)

Answer 1

Factors of 180:

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180.


Factors of 270:

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270.


What are the factors of both 270 and 180?

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.

Which one of these would give us the greatest amount of baskets possible?

Answer: 90 baskets.

I hope this helped you! c: