bobrossbudgie bobrossbudgie
  • 01-09-2021
  • Mathematics
contestada

How many of the positive divisors of 2160 are multiples of 3?

Respuesta :

colinspurdle colinspurdle
  • 01-09-2021
30 of the divisors are multiples of 3

The factors of 2160 are 1, 2160, 2, 1080, 3, 720, 4, 540, 5, 432, 6, 360, 8, 270, 9, 240, 10, 216, 12, 180, 15, 154, 16, 135, 18, 120, 20, 108, 24, 90, 27, 80, 30, 72, 36, 60, 40, 54, 45, 48
These are all divisors of 2160 but only 30 are multiples of 3.
The ones that are NOT are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80

You can also do this using prime factors 2x2x2x2x3x3x3x5 = 2160 but it is harder to explain.
Answer Link

Otras preguntas

Which statement best describes the structure of this passage
what is the slope of the line that passes through the points (-5,2) and (-7,6)
Let f(x)= log x what is the average rate of change of f(x) from 2-3 round to the nearest hundredth
From The Earth is Precious, what is the best definition for the word “exempt”? Question 13 options: a) none of these are correct b) a restraint forcing one to
Just need help finding X and Y
Do you agree or disagree with the following statement? The Enlightenment would not have been possible without the scientific revolution.
calculate the number in the middle of -5 and 12
Can someone help me with 1,2,4 please show me how to do it
John, a phone sales representative for a paper company, also helps direct customers when they have questions or concerns. Which of the following is his primary
what was the main cause of the Sepoy Reb