Express 240 as a product of prime factors in index form.

Sure, here are the steps to express 240 as a product of prime factors in index form:

1. First, we need to find the prime factors of 240. Prime factors are the prime numbers that divide a number exactly.

2. We start by dividing 240 by the smallest prime number, which is 2. 240 divided by 2 is 120.

3. We continue this process with the quotient. 120 divided by 2 is 60.

4. We divide 60 by 2 and get 30.

5. We divide 30 by 2 and get 15.

6. Now, 15 cannot be divided by 2, so we move to the next prime number, which is 3. 15 divided by 3 is 5.

7. Finally, 5 is a prime number itself, so our process stops here.

8. So, the prime factors of 240 are 2, 2, 2, 2, 3, and 5.

9. In index form, we write this as 2^4 * 3^1 * 5^1.

So, 240 expressed as a product of prime factors in index form is 2^4 * 3^1 * 5^1.

Sure, here are the steps to express 240 as a product of prime factors in index form:

1. First, we need to find the prime factors of 240. We start by dividing 240 by the smallest prime number, which is 2.

2. 240 ÷ 2 = 120. We can still divide 120 by 2, so we do that next.

3. 120 ÷ 2 = 60. We can still divide 60 by 2, so we do that next.

4. 60 ÷ 2 = 30. We can still divide 30 by 2, so we do that next.

5. 30 ÷ 2 = 15. We can't divide 15 by 2, so we move on to the next prime number, which is 3.

6. 15 ÷ 3 = 5. We can't divide 5 by 3, so we move on to the next prime number, which is 5.

7. 5 ÷ 5 = 1. Now we have reached 1, so we stop.

8. The prime factors of 240 are therefore 2, 2, 2, 2, 3, and 5.

9. In index form, we write this as 2^4 * 3^1 * 5^1.

So, 240 expressed as a product of prime factors in index form is 2^4 * 3^1 * 5^1.