The product of all the prime numbers less than 28 is closest to which of the following powers of 10?
The product of all the prime numbers less than 28 is closest to which of the following powers of 10?
Answer/Solution
e) 10^8*2.23
Steps/Work
Group these numbers so as to get product close to a multiple of 10, so they can be rewritten as (2*5)(3*7)(11*19)(13*17)*23 or 10*21*209*221*23
Now take out power of 10 from each number and rewrite
10*10*100*100*10(1*2.1*2.09*2.21*2.3) or 10^7*(1*2.1*2.09*2.21*2.3)=2.23*10^8
E
Now take out power of 10 from each number and rewrite
10*10*100*100*10(1*2.1*2.09*2.21*2.3) or 10^7*(1*2.1*2.09*2.21*2.3)=2.23*10^8
E