Sage-Tips

What is the highest power of 6?

Maximum power of 6 in 120! is given by Highest power of 3 in 120! Hence the maximum power of 6 which can divide 120! without leaving a remainder is 58.

What is the highest power of 6 in 120?

58
Hence the maximum power of 6 which can divide 120! without leaving a remainder is 58.

What is the highest power of 10 in 100?

We know that we need one 2 and one 5 to make one 10. is 24. If you have noticed the highest power of 10 in 100! is equal to the highest power of 5.

What is the highest power of 12 in 100?

. Therefore, the exponent of 12 in $100!$ is 48. Thus, option (B) is the correct answer.

What is the highest power of 15 in 100?

So the highest power on 15 in $100!$ is 24 and the correct option is B.

What is the highest power of 60 in 500?

what is the highest power of 60 in 500! and the answer is 124 now I want to ask why do we divide – Brainly.in.

What is the highest power of 12 in 100 !?

48
Therefore, the exponent of 12 in $100!$ is 48. Thus, option (B) is the correct answer.

What is the highest power of 7 in 500?

Answer Submitted without leaving a remainder is 832.

What is the highest power of 7 in 50?

Explanatory Answer = 714 numbers that are exactly divisible by 7 between 1 and 5000.

If you have noticed the highest power of 10 in 100! is equal to the highest power of 5. This is because the factorial of any number is always going to have more 2s than 5s as 5 > 2 and we need equal number of 2 and 5 to make one 10.

What is the maximum power of 6 which can divide 120?

Maximum power of 6 in 120! is given by Highest power of 3 in 120! Hence the maximum power of 6 which can divide 120! without leaving a remainder is 58. Example 6: Find the maximum power of 15 in 75!

How do you find the maximum power of a prime number?

Calculation of the maximum power of a prime number in a factorial simply involves using the formula described above. Example 1: Highest power of 3 in 15! => [ 15 3] + [ 15 3 2] + [ 15 3 3] + … Example 2: Maximum power of 2 in 48! => [ 48 2] + [ 48 2 2] + [ 48 2 3] + [ 48 2 4] + [ 48 2 5] + [ 48 2 6] + …

What is the highest number of 10s that can be made?

Hence, the highest power of 2 in 100! is 97 i.e. 100! contains 97 twos or and the highest power of 5 in 100! is 24 i.e. 100! Contains 24 fives or. We know that we need one 2 and one 5 to make one 10. So, the highest number of 10s that we can make from 97 twos and 24 fives is 24.