Respuesta :

caylus
Hello,

p=6*k
p∈div 180
180=2²*3²*5.
We take 2*3 remainder 2^1*3^1*5^1

Number of possibilities: (1+1)*(1+1)*(1+1)=8

There are 8 possibilities for the whole number p greater than 0 , multiple of 6 and a factor of 180.

What is whole number?

Numbers which starts with 0 and goes till infinity are known as whole numbers.

How to find possibilities?

We have to find first factors and multiples of 6 .

Factors of 180=1,2,3,4,5,6,9,10,12,15,18,20,36,45,60,90,180.

Multiples of 6 in the factors of 180=6,12,18,30,36,60,180,90

Total numbers=8

Therefore there are 8 possibilities for the whole number p.

Hence there are 8 possibilities for the whole number p which is greater than 0 , factor of 180 and a multiple of 6.

Learn more about whole numbers at https://brainly.com/question/461046

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