Sage-Tips

What is the highest power of 24 that divides 80 factorial?

Answer: The highest power of 24 that can divide 80! is 26.

What is the highest power of 15 in 24 factorial?

Example 4: Highest power of 15 in 24! Accordingly, among the prime factors 3 and 5, highest power of 5 in 24! will be less than the highest power of 3 in 24!. Hence the highest power of 15 in 24! will be equal to the highest power of 5 in 24!

What is the highest power of 2 that divides 20 factorial completely?

$\therefore$ The highest power of 2 that divides $20!$ completely is 18.

What is the highest power of 30 divides 50?

So the greatest power of 30 in 50! is 12. Note: We don’t have to find the power of all prime factors of a given number. It is enough to find the greatest power of the highest prime factor in the factorial (here 5).

How do you find the highest power?

Solution

1. Prime factorize the given number. So prime factorization of 10 = 2*5. So, now we know that to make one 10 we need one 2 and one 5. So, in our last step, let’s see how many 10s we can make in 100!
2. The highest power of 2 is 100! = = 50 + 25 + 12 + 6 + 3 +1= 97. And, the highest power of 5 in 100! = = 20 + 4 = 24.

What is the highest power of 8 divides 88?

Max: 2000 Characters

1. 2 bookmarks. Dec 12, 2018. 8 =2^3. We wil find factors of 2. =88/2+88/4+88/8+88/16+88/32+88/64. =44+22+11+5+2+1. =85. Now 2^3=8. therefore number of power of 8=85/3 ~
2. 1 bookmark.

What is the highest power of 48 in 32 factorial?

Answer should be B I. e 14 because factorisation of 48 is 2^4*3 so highest power of 2 will be 31 and 3 will be 14 so answer should be 14. find the highest powers of 2 and 3 in 32! highest power of 2 is 31 in 32!

What is the highest power of 12 divides 541?

So, 54! can be said to be a multiple of (22 * 3)25. Or, the highest power of 12 that can divide 54! is 25.

What is the highest power of 3 Divide 900?

With 900 being a perfect square, as well as one of the largest three-digit numbers in existence, it’s has 27 pair factors inluding negative and positive both….Factors of 900 by Division Method.

900 ÷ 1=900	900 ÷ 2=450
900 ÷ 100=9	900 ÷ 150=6
900 ÷ 180=5	900 ÷ 225=4
900 ÷ 300=3	900 ÷ 450=2

What is the highest power of 12 divides 54?

25
So, 54! can be said to be a multiple of (22 * 3)25. Or, the highest power of 12 that can divide 54! is 25.