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arătați ca 2^13×3^7×5^11+3^8×4^7×25^5 supra 792 aparține mulțimii nr nat N

Răspuns :

(2^13×3^7×5^11+3^8×4^7×25^5 )/ 792=
=2^13×3^7×5^11+3^8 × 2^14×5^10 / 2^3×3^2×11=
=(2^13×3^7×5^10)(5+2×3) / 2^3×3^2×11=
=(2^13×3^7×5^10)× 11 / 2^3×3^2×11=
=2^10×3^5×5^10  apartine lui N