To find the highest power of 3 in 15!, we need to count the number of times 3 appears as a factor in the numbers from 1 to 15.

First, we divide 15 by 3, which gives us 5. This means there are 5 numbers that are divisible by 3 in the range 1-15.

Next, we divide 15 by 9 (which is 3^2), which gives us 1. This means there is 1 number that is divisible by 9 in the range 1-15.

We don't need to go any further because 3^3 is 27, which is greater than 15.

Finally, we add up the numbers we found: 5 + 1 = 6.

So, the highest power of 3 in 15! is 6. Therefore, the answer is (b) 6.

Question

To find the highest power of 3 in 15!, we need to count the number of times 3 appears as a factor in the numbers from 1 to 15.

First, we divide 15 by 3, which gives us 5. This means there are 5 numbers that are divisible by 3 in the range 1-15.

Next, we divide 15 by 9 (which is 3^2), which gives us 1. This means there is 1 number that is divisible by 9 in the range 1-15.

We don't need to go any further because 3^3 is 27, which is greater than 15.

Finally, we add up the numbers we found: 5 + 1 = 6.

So, the highest power of 3 in 15! is 6. Therefore, the answer is (b) 6.

Knowee AI · Accepted Answer

To find the highest power of 3 in 15!, we need to count the number of times 3 appears as a factor in the numbers from 1 to 15.

First, we divide 15 by 3, which gives us 5. This means there are 5 numbers that are divisible by 3 in the range 1-15.

Next, we divide 15 by 9 (which is 3^2), which gives us 1. This means there is 1 number that is divisible by 9 in the range 1-15.

We don't need to go any further because 3^3 is 27, which is greater than 15.

Finally, we add up the numbers we found: 5 + 1 = 6.

So, the highest power of 3 in 15! is 6. Therefore, the answer is (b) 6.

Find the highest power of 3 in 15! ? a. 2 b. 6 c. 10 d. 5