How to Write 44 as a Product of Prime Factors?

To express the number 44 as a product of its prime factors, we start by finding the prime numbers that multiply together to give 44.

First, we notice that 44 is an even number, which means it can be divided by 2. So, we divide:

44 ÷ 2 = 22

Next, we take 22, which is also an even number, and divide by 2 again:

22 ÷ 2 = 11

Now, we have arrived at 11, which is a prime number. Therefore, we can no longer factor it further into smaller prime numbers.

Putting it all together, we can express 44 as:

44 = 2 × 2 × 11

In exponential form, this can also be written as:

44 = 2² × 11

Thus, the prime factorization of 44 is 2² × 11.