11-16-2017, 01:03 AM

11-16-2017, 01:20 AM

Prime factorisation by hand didn't take long and it revealed 11 factors. Each can be present or absent for each factor so 2

Pauli

^{11}= 2048 in total.Pauli

11-16-2017, 01:30 AM

(11-16-2017 01:20 AM)Paul Dale Wrote: [ -> ]Prime factorisation by hand didn't take long and it revealed 11 factors. Each can be present or absent for each factor so 2Congratulations Pauli!^{11}= 2048 in total.

Pauli

200,560,490,130 is the product of the first 11 prime numbers. To find the total number of factors of a number, determine the numbers prime factors, then add 1 to each exponent and then multiply those numbers together:

2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 2,048