Question and Answers Forum

All Questions      Topic List

Number Theory Questions

Previous in All Question      Next in All Question      

Previous in Number Theory      Next in Number Theory      

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

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

Answered by RasheedSindhi last updated on 03/Aug/17

$$333=37\times 3^2$$$${333}^{505}={37}^{505}\times {\left(3^2\right)}^{505}={37}^{505}\times 3^{1010}$$$$3^{1010}\mid {333}^{505}$$$$1010\mathrm{times}.$$

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

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}.$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com