SOLUTION: Find the total no. of prime number factors in this expression {{{20^15*18^11*7^12*12^10}}}

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Question 886625: Find the total no. of prime number factors in this expression
20%5E15%2A18%5E11%2A7%5E12%2A12%5E10
Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!

20%5E15%2A18%5E11%2A7%5E12%2A12%5E10

Break 20, 18, and 12 into prime factors.  7 is already prime.

20 = 2*2*5, 18=2*3*3, 12=2*2*3

%282%2A2%2A5%29%5E15%282%2A3%2A3%29%5E11%2A7%5E12%2A%282%2A2%2A3%29%5E10



Number of prime factors = the sum of all the exponents:

15+15+15+11+11+11+12+10+10+10 = 120 prime factors.

Edwin