what-is-the-maximum-number-of-time-three-divides-333-505-

Question Number 19002 by tawa tawa last updated on 02/Aug/17

what is the maximum number of time three divides 333^{505}

Answered by RasheedSindhi last updated on 03/Aug/17

333 = 37 \times 3^{2}

333^{505} = 37^{505} \times {(3^{2})}^{505} = 37^{505} \times 3^{1010}

3^{1010} ∣ 333^{505}

1010 times .

Commented by tawa tawa last updated on 03/Aug/17

God bless you sir .