Assume there are seven players on a middle school basketball team. The product of their ages is 35335872> What are the ages of the seven players?

Question

 2 is a factor as well as 3

 

Answer 1

35335872

write the prime factorization of the number or at least factor the number somewhat

8*8*552123

8*8*9*61347

8*8*9*3*20449

20449 is divisible by 11 by the rule for divisibility

8*8*9*3*11*1859

8*8*9*3*11*11*169

169=13*13

8*8*9*3=2*2*2*2*2*2*3*3*3=(2*2*3)*(2*2*3)*(2*2*3)=12*12*12

11, 11, 12, 12, 12, 13, 13 are the ages

 

Answer 2

Hi Sally, based on the prime numbers involved in 35335872, and the ages of middle school students, I would save the basketball team ages were:

 

11, 11, 12, 12, 12, 13, and 13

 

Questions?