How Many Ways Can 360 Be Written As Product Of Two Numbers?

1.	How Many Ways Can 360 Be Written As Product Of Two Numbers?
Answer» 1360, 2180, 3120, 490, 572, 660, 845, 940, 1036, 1230, 1524, 1820 SOL 2) 360 => 2^3 * 3^2 * 5^1 [i.e. a^x * b^y * c^z) No. of ways can be written as a prod of 2 no's is (x+1)(y+1)(z+1)/2 => (3+1)(2+1)(1+1)/2 => 24/2 = 12. 1360, 2180, 3120, 490, 572, 660, 845, 940, 1036, 1230, 1524, 1820 SOL 2) 360 => 2^3 3^2 * 5^1 [i.e. a^x * b^y * c^z) No. of ways can be written as a prod of 2 no's is (x+1)(y+1)(z+1)/2 => (3+1)(2+1)*(1+1)/2 => 24/2 = 12.

Answer»

1*360, 2*180, 3*120, 4*90, 5*72, 6*60, 8*45, 9*40, 10*36, 12*30, 15*24, 18*20

SOL 2) 360 => 2^3 * 3^2 * 5^1 [i.e. a^x * b^y * c^z)

No. of ways can be written as a prod of 2 no's is

(x+1)*(y+1)(z+1)/2

=> (3+1)*(2+1)*(1+1)/2

=> 24/2 = 12.

1*360, 2*180, 3*120, 4*90, 5*72, 6*60, 8*45, 9*40, 10*36, 12*30, 15*24, 18*20

SOL 2) 360 => 2^3 * 3^2 * 5^1 [i.e. a^x * b^y * c^z)

No. of ways can be written as a prod of 2 no's is

(x+1)*(y+1)(z+1)/2

=> (3+1)*(2+1)*(1+1)/2

=> 24/2 = 12.

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