Want this question answered?
Be notified when an answer is posted
The prime factorization of 360 is 2x2x2x3x3x5, or 23x32x5 in exponential form.
360 = 23 x 33 x 51
360 = 2 * 2 * 2 * 3 * 3 * 5
Product of two numbers a and b = LCM(a,b) x GCF(a,b)...(1)Here, product of 18 and 360 = 6480Now, we shall find GCF of 18 and 360 by using the method of prime factorization.Prime factorization of 18 = 2x3x3Prime factorization of 360 = 2x2x2x3x3x5It is clear from the prime factorization that gcf = 18Now using (1) we can find LCM:LCM(18,360) = Product of 18 and 360/GCF(18,360) = 6480/18 = 360So, LCM and GCF of 18 & 360 is 360 and 18.Also, it is important to note that 360 is divisible by 18 then GCF is 18 and LCM is 360.
23 x 32 x 5Prime Factorization of 360:= 2 x 2 x 2 x 3 x 3 x 5= 23 x 32 x 5
The prime factorization of 360 is 23 x 32 x 5.
The prime factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5 = 360
The prime factorization of 360 is 2x2x2x3x3x5, or 23x32x5 in exponential form.
2x2x2x3x3x5 = 360
360=2^3x3^2x5
360 = 23 x 32 x 5
23 x 32 x 5 = 360
23 x 32 x 5 = 360
360 = 23 x 33 x 51
360 = 2 * 2 * 2 * 3 * 3 * 5
2 x 2 x 2 x 3 x 3 x 5 is the prime factorization for 360.
23 x 32 x 5 = 360