Least value of n

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moorthy76: Senior | Next Rank: 100 Posts; Posts: 53; Joined: Wed Jan 14, 2009 7:58 pm; Location: india; Thanked: 2 times; GMAT Score:700

by moorthy76 » Mon Feb 16, 2009 7:03 am

If the product of 1 to n is a multiple of 990, then what is the least value n could take?

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Source: Beat The GMAT — Problem Solving | Mon Feb 16, 2009 7:03 am

earth@work: Master | Next Rank: 500 Posts; Posts: 248; Joined: Mon Aug 11, 2008 9:51 am; Thanked: 13 times

by earth@work » Mon Feb 16, 2009 7:44 am

990 = 2*5*9*11
now 2*5*9*11 is a factor of 1*2*3**4*......*n so least value of n=11
What is the answer?

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DanaJ: Site Admin; Posts: 2567; Joined: Thu Jan 01, 2009 10:05 amFollowed by: 550 members; Thanked: 712 times; GMAT Score:770

by DanaJ » Mon Feb 16, 2009 7:44 am

https://www.beatthegmat.com/number-properties-t9993.html

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