3 years ago

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

Mathematics

1 answer:

ikadub [295]3 years ago

5 0

100 factorial is 1*2*3*......*100

Number of multiples of 2 less than 100 = 49

Number of multiples of 3 less than 100 = 33

We are double counting those that are multiples of 2 and 3 (or 6)

Number of multiples of 6 less than 100 = 16

49+33-16 =66

There are 66 factors that are multiples or 2 or 3

You might be interested in

With the remaining 3/4 gallon of honey, Lila decided to bake some loaves of bread and several batches of cookies for her school

Aleksandr-060686 [28]

Find the least common denominator for all fractions: 12

3/4 = (3*3)/(4*3) = 9/12
1/6 = (1*2)/(6*2)
1/4 = (1*3)/(4*3)

Take the converted fractions to have the honey used taken away from the original total.

4 0

4 years ago

0.02 percent of 5000 is what answer. please help im stuck

raketka [301]

0.02% of 5000 = 1

1 is the answer

8 0

4 years ago

Read 2 more answers

Please help<br>what is the solution to the system? Use substitution<br> y=x+5 <br>-2x+12=y

Novay_Z [31]

X+5 = -2x + 12
-5 -5
x = -2x + 7
+2x +2x
3x = 7
x = 2 1/3

y = x + 5
y = 2 1/3 + 5
y = 7 1/3

5 0

3 years ago

What is the value of n in this equation 1/2(n-4)-3=3-(2n+3)?

alexdok [17]

Answer:

n = 2

Step-by-step explanation:

Given

$\frac{1}{2}$ (n - 4) - 3 = 3 - (2n + 3)

Multiply through by 2 to clear the fraction

n - 4 - 6 = 6 - 2(2n + 3) ← distribute

n - 10 = 6 - 4n - 6 ( add 4n to both sides )

5n - 10 = 0 ( add 10 to both sides )

5n = 10 ( divide both sides by 5 )

n = 2

6 0

3 years ago

The tooth fairy left Emily $0.95 under her pillow. Write Emily's money as a fraction, in simplest form.

Semmy [17]

(95/100)/5 = 19/50
divide by 5 both on the top and bottom

3 0

3 years ago