Maths Quest Dammunte Solve It

[fake_Bezawada]

[img]http://www.bewarsetalk.net/discus/movieanimated3/bemmi.lol5.gif[/img]
[size=5]The sum of the factors of a number is 124. What is the number?[/size]

[mrdecent]

48[img]http://www.bewarsetalk.net/discus/movieanimated3/bemmi.lol5.gif[/img]

[fake_Bezawada]

[quote name='Mrdecent' timestamp='1363071581' post='1303407938']
48[img]http://www.bewarsetalk.net/discus/movieanimated3/bemmi.lol5.gif[/img]
[/quote]
how reyyyyyy

ur crct

[c3x]

123[img]http://lh4.ggpht.com/-vvSBqpX-ffU/TrWzDeVV6aI/AAAAAAAAFOw/VBVfCY40fZg/s150/Mahi.gif[/img]

[fake_Bezawada]

[quote name='CNATION' timestamp='1363071722' post='1303407953']
123[img]http://lh4.ggpht.com/-vvSBqpX-ffU/TrWzDeVV6aI/AAAAAAAAFOw/VBVfCY40fZg/s150/Mahi.gif[/img]
[/quote]
neee bonda [img]http://www.desigifs.com/sites/default/files/frock2.gif?1290060543[/img]

[mrdecent]

[quote name='CNATION' timestamp='1363071722' post='1303407953']
123[img]http://lh4.ggpht.com/-vvSBqpX-ffU/TrWzDeVV6aI/AAAAAAAAFOw/VBVfCY40fZg/s150/Mahi.gif[/img]
[/quote]

Wrong 123 factors

1,3,41,123

so total 168

[c3x]

[quote name='BezawadaBablu' timestamp='1363071825' post='1303407960']
neee bonda [img]http://www.desigifs.com/sites/default/files/frock2.gif?1290060543[/img]
[/quote]
anthe antava,... [color=#282828][font=helvetica, arial, sans-serif][size=3][img]http://lh4.ggpht.com/-vvSBqpX-ffU/TrWzDeVV6aI/AAAAAAAAFOw/VBVfCY40fZg/s150/Mahi.gif[/img][/size][/font][/color][color=#282828][font=helvetica, arial, sans-serif][size=3] [/size][/font][/color]

[fake_Bezawada]

[quote name='CNATION' timestamp='1363071859' post='1303407964']
anthe antava,... [color=#282828][font=helvetica, arial, sans-serif][size=3][img]http://lh4.ggpht.com/-vvSBqpX-ffU/TrWzDeVV6aI/AAAAAAAAFOw/VBVfCY40fZg/s150/Mahi.gif[/img][/size][/font][/color]
[/quote]
[img]http://www.desigifs.com/sites/default/files/Dookudu%20Audio%20launch%20-%20Dhookudu%20Audio%20Songs%20Release%207.gif?1350919129[/img] antheee

[mrdecent]

[quote name='BezawadaBablu' timestamp='1363071677' post='1303407949']
how reyyyyyy

ur crct
[/quote]

[color=#0E2233]1+2+3+4+6+8+12+16+24+ 48=124[/color]

[TENALI_TELUGODU]

[img]http://i.imgur.com/RLlYr.gif[/img]

[fake_Bezawada]

[quote name='Mrdecent' timestamp='1363071958' post='1303407968']

[color=#0E2233]1+2+3+4+6+8+12+16+24+ 48=124[/color]
[/quote]
baaga google sesav mama [img]http://www.desigifs.com/sites/default/files/Dookudu%20Audio%20launch%20-%20Dhookudu%20Audio%20Songs%20Release%207.gif?1350919129[/img]

[c3x]

sare aithe idi solve cheyandi...
29000 dollars appu teeskuni... 5 percent interest rate meeda... 5 years... monthly payments entha kattali...

[mrdecent]

Google lo first linka kada mayya [img]http://www.bewarsetalk.net/discus/movieanimated3/bemmi.lol5.gif[/img]

[fake_Bezawada]

Any number of the form p[sup]a[/sup]q[sup]b[/sup]r[sup]c[/sup] will have (a+1) (b+1)(c+1) factors, where p, q, r are prime. (This is a very important idea)
For any number N of the form p[sup]a[/sup]q[sup]b[/sup]r[sup]c[/sup], the sum of the factors will be (1 + p[sup]1[/sup] + p[sup]2[/sup] + p[sup]3[/sup]+ …+ p[sup]a[/sup]) (1 + q[sup]1[/sup] + q[sup]2[/sup] + q[sup]3[/sup]+ …+ q[sup]b[/sup]) (1 + r[sup]1[/sup] + r[sup]2[/sup] + r[sup]3[/sup]+ …+ r[sup]c[/sup]).
Sum of factors of number N is 124. 124 can be factorized as 2[sup]2[/sup] * 31. It can be written as 4 * 31, or 2 * 62 or 1 * 124.
2 cannot be written as (1 + p[sup]1[/sup] + p[sup]2[/sup] …p[sup]a[/sup]) for any value of p.
4 can be written as (1 + 3)
So, we need to see if 31 can be written in that form.


The interesting bit here is that 31 can be written in two different ways

31 = (1 + 2[sup]1[/sup] + 2[sup]2[/sup]+ 2[sup]3[/sup] + 2[sup]4[/sup])

31 = ( 1 + 5 + 5[sup]2[/sup])

Or, the number N can be 3 * 2[sup]4[/sup] or 3 * 5[sup]2[/sup]. Or N can be 48

[c3x]

[quote name='BezawadaBablu' timestamp='1363072002' post='1303407972']
baaga google sesav mama [img]http://www.desigifs.com/sites/default/files/Dookudu%20Audio%20launch%20-%20Dhookudu%20Audio%20Songs%20Release%207.gif?1350919129[/img]
[/quote]
answer chepte google chesinatte na [color=#282828][font=helvetica, arial, sans-serif][size=3][img]http://lh4.ggpht.com/-vvSBqpX-ffU/TrWzDeVV6aI/AAAAAAAAFOw/VBVfCY40fZg/s150/Mahi.gif[/img][/size][/font][/color][color=#282828][font=helvetica, arial, sans-serif][size=3] [/size][/font][/color]