Factor the number 612+88+278 without using 1 as a factor.
Solution
612+88+278=======(2⋅3)12+(23)8+(33)8[≈2.84623096×1011]212⋅312+224+324224+212⋅312+324=224+2(212⋅312)+324−212⋅312(212)2+2(212⋅312)+(312)2−212⋅312(212+312)2−(26⋅36)2[212⋅312=(2636)2](212+312+26⋅36)(212+312−26⋅36)582193⋅488881.[≈2.84623096×1011]