Question 1128172: There are 54 oranges in a crate. Harry wants to put them in smaller baskets with the same number of oranges in each. A. How does knowing if 54 is prime or composite help Harry make the baskets? B.How many baskets with the same number of oranges can Harry make? Name all the possible ways. Please Found 2 solutions by htmentor, josmiceli:Answer by htmentor(1343) (Show Source):
You can put this solution on YOUR website! If 54 were a prime number, then the only possibility would be 54 baskets with one orange each.
The prime factorization of 54 is 2,3,3,3
Therefore, the possible combinations are:
54 baskets with 1 each
2 baskets with 27 each
27 baskets with 2 each
3 baskets with 18 each
18 baskets with 3 each
6 baskets with 9 each
9 baskets with 6 each
You can put this solution on YOUR website! If the number of baskets doesn't divide evenly
into the number of oranges, there will be one or
more oranges left over.
If were prime ( no divisors ), then there could only be
one basket with oranges in it, and the
baskets are supposed to be smaller than the crate.
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The divisors of are: 1, 2, 3, 6, 9, 18, 27
Harry can make:
2 baskets with 27 oranges each
3 baskets with 18 oranges each
6 baskets with 9 oranges each
9 baskets with 6 oranges each
18 baskets with 3 oranges each
27 baskets with 2 oranges each
