Britney spears her grilled shrimp so the product of the numbers of shrimp is 1001. If the number of shrimp on each spear is a prime, how many shrimp does Britney spear altogether?
I pretty sure it 31
To find out how many shrimp Britney Spears altogether, we need to find the numbers that multiply to 1001 and are prime.
First, let's find the prime factorization of 1001:
1001 = 7 * 11 * 13
Since the number of shrimp on each spear is a prime, we have the following possibilities:
1. 7 shrimp on one spear, 11 shrimp on another spear, and 13 shrimp on the remaining spear.
2. 1 shrimp on one spear, 7 shrimp on another spear, and 143 shrimp on the remaining spear.
3. 1 shrimp on one spear, 11 shrimp on another spear, and 91 shrimp on the remaining spear.
Therefore, Britney Spears can have a total of 7 + 11 + 13 = 31 shrimp.
To find the total number of shrimp that Britney spears altogether, we need to determine the factors of the number 1001. Since the number 1001 is given as the product of the numbers of shrimp on each spear, and the numbers are prime, the factors of 1001 are prime numbers.
First, let's find the prime factors of 1001:
1001 = 7 x 11 x 13
Since the conditions state that the number of shrimp on each spear is a prime number, the possible numbers of shrimp on each spear are 7, 11, and 13.
Therefore, the total number of shrimp Britney spears altogether would be the sum of these prime numbers:
7 + 11 + 13 = 31
Therefore, Britney spears a total of 31 shrimp altogether.