multiples

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artstudent: Senior | Next Rank: 100 Posts; Posts: 62; Joined: Mon Mar 28, 2011 9:35 pm; Thanked: 4 times

by artstudent » Wed Jul 20, 2011 9:00 pm

How many factor of 700 is greater than 77?

Is there a quick way to do this? (I broke down the factors and (2)^2(5)^2(7) and multiply to find out. This took too long)

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Source: Beat The GMAT — Problem Solving | Wed Jul 20, 2011 9:00 pm

krishnasty: Master | Next Rank: 500 Posts; Posts: 142; Joined: Mon Jan 10, 2011 8:03 am; Thanked: 19 times

by krishnasty » Wed Jul 20, 2011 9:13 pm

Even i broke it down as
2*2*5*5*7

possible combinations:
5*2*2*7
5*2*7
5*5*2*2
5*5*2*7
5*5*7
5*5*2*2*7

i guess the possible combinations come out to be 6.

Wats the OA?

---------------------------------------
Appreciation in thanks please!!

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winniethepooh: Master | Next Rank: 500 Posts; Posts: 370; Joined: Sat Jun 11, 2011 8:50 pmFollowed by: 2 members; Location: Arlington, MA.; Thanked: 27 times

by winniethepooh » Wed Jul 20, 2011 9:16 pm

This is the only best way & this is the best way..would take you less than half a minute.

Simply divide 700 by its prime factors
Or
even simpler do this:
700 = 70*10 = 7*10*10 = 7*2*5*2*5 = 2^2 * 5^2 * 7!

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artstudent: Senior | Next Rank: 100 Posts; Posts: 62; Joined: Mon Mar 28, 2011 9:35 pm; Thanked: 4 times

by artstudent » Wed Jul 20, 2011 9:16 pm

you are right but is there a faster way? i pretty much did the same way

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