Question

The number of different factors the number 75600 has is

Answer 1

75600 = 756*100 = 7*108*100 =7*4*27*100=7*(3^3)*(4)*(4)*(5)*(5) = 7*(3^3)*(2^4)*(5^2)
thus the powers of the prime factors are, 1, 3, 4, 2
thus number of factors are,
(1+1)(1+3)(1+4)(1+2) = 120

Answer 2

Answer:

120

Step-by-step explanation:

75600=756x100=7x108x100

7x4x27x100=7x(3x3)x(4)x(5)x(5)

7x(3x3)x(2x4)x(5x2)

Thus power of prime factors are:1,3,4,2

Thus number of factors for 75600:(1+1)(1+3)(1+4)(1+2)=120

Hope it is useful to you and please follow, comment, Branillest me if you like.