what is the next number with 2x2x2x2x2x5 as factorization

To find the next number with 2x2x2x2x2x5 as a factorization, we need to find a number that has at least these prime factors and is greater than the given factorization. Here's how you can do it:

1. Start by listing the prime factors in ascending order: 2, 2, 2, 2, 2, 5.
2. Multiply these prime factors together: 2 x 2 x 2 x 2 x 2 x 5 = 160.
3. Now, to find the next number with the given factorization, we need to increase any of the prime factors or add additional prime factors to the factorization.

Option 1: Increase one of the existing prime factors. In this case, we can choose to increase the last factor, which is 5. So, the next number would be 2 x 2 x 2 x 2 x 2 x (5 + 1) = 2 x 2 x 2 x 2 x 2 x 6 = 384.

Option 2: Add an additional prime factor. We need to find a prime number that is greater than 5 to add to the factorization. The next prime number after 5 is 7. So, the next number can be 2 x 2 x 2 x 2 x 2 x 5 x 7 = 1120.

Therefore, the next number with the given factorization can either be 384 or 1120, depending on whether you choose to increase an existing prime factor or add an additional prime factor.