I need help with these problems:

1.

initial number:5660236326063470

x=58741285

is the result of x*96358742.

how can I compute the x?

2.and what about numbers where I have only many values = 74*55*55*42*96*1858 , result is 1676962425600

how can I get these numbers when I have only the result, 1858, and number of previous numbers?

Thanks.

MathKing Dec 22, 2019

#1**+1 **

1.

initial number:5660236326063470

x=58741285

is the result of x*96358742.

how can I compute the x?

You have been given x, there is nothing to compute

----------------

2.and what about numbers where I have only many values = 74*55*55*42*96*1858 , result is 1676962425600

how can I get these numbers when I have only the result, 1858, and number of previous numbers?

No you can't because none of those factors are prime.

If they were all prime and you were told how many there were then you could.

Melody Dec 22, 2019

#2**0 **

Aha, integer factorization.

So 1676962425600 is 2^8 * 3^2 * 5^2 * 7 * 11^2 * 37 * 929

>If they were all prime and you were told how many there were then you could

so I have 2,3,5,7,11,37,929. How can I determine correct exponents?

Thanks.

MathKing Dec 25, 2019

#3**+2 **

By division

or you could use the factor function on your calculator

factor(1676962425600) = (((((2^8*3^2)*5^2)*7)*11^2)*37)*929

You do not need to know how many factors, that is determined by the rest of the question.

You only need to know if 1 is included as a factor or if it is not.

Melody
Dec 26, 2019