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

What other property of the object increases as well?
The President can most effectively influence the Congress by:
Which one of the following lines is written in iambic pentameter? A. "And sorry I could not travel both" B. "When the proofs, the figures, were ranged in column
max scored 9 runs on Monday and 11 runs on Tuesday. How many runs did he score in all?
Order the ratios from least to greatest: 7:2, 12:4, 20:6, 21:14, 10:5
How did mutinies affect the French and Russian army?
TRUE OR FALSE? The genetic code is determined by the SIZES of the nitrogen bases.
What is your rate in miles/hour if you tun at a speed of 2.2 miles in 20 minutes
Write the equation in slope-intercept form. 2/3(6y+9)=3/5(15x-20)
What states made up the upper south?