smellypoop47 smellypoop47
  • 09-11-2018
  • Mathematics
contestada

How many positive integer factors of 100 are multiples of 2 or 3?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 09-11-2018

Answer:

  • 6

Explanation:

The prime factorization of 100 is ...

... 100 = 2²×5²

The exponents of these factors are 2 and 2. Adding 1 to each of them and finding the product of those sums, we have ...

... (2+1)×(2+1) = 9

The number of divisors of 100 is 9. They are ...

... 1, 2, 4, 5, 10, 20, 25, 50, 100

Of these, 2, 4, 10, 20, 50, 100 are divisible by 2. That is, 6 factors of 100 are multiples of 2.

There are no multiples of 3 that are factors of 100, since 3 is not one of the prime factors.

Answer Link

Otras preguntas

HELP PLEASE NEED URGENT HELP!!!!!!!
please help!! 16 points !!!
PLEASEEEEEEEEEE HELP ASAP PLEASEEEEEEEEEE
give examples to show that plastic are non-corrosive in nature
Which kind of victim do bullies tend to seek? A. Victims who have passive personalities. B. Victims who have high self esteem C. Victims who are members of grou
What is the value of x in the drawings if we know the triangles are similar? A. 12 ft. B. 30 ft. C. 36 ft. D. 18 ft.
PLEASE HELP ME ASAP!!!!!!!!!!!!!! Which of the following best describes "Reluctance"? A) Collection of related ideas B) Description of changing seasons C) Disc
PLEASE HELP PLEASE HELP PLEASE HELP!!!!!!!!!!!!!!QUESTION 16!!!​
simplify. 2/3 = 2/9m a. 1/3 b. -1/3 c. 3 d.-3
which scientist discovered the theory of evolu Which scientist discovered the theory of evolution