The prime factorization of 116 is 2 × 2 × 29, or more commonly written as 22 × 29.
To find the prime factorization, we start by dividing 116 by the smallest prime number, which is 2. Since 116 is even, we can divide it by 2:
- 116 ÷ 2 = 58
We can continue dividing by 2:
- 58 ÷ 2 = 29
Now, we have 29, which is a prime number itself. Therefore, we cannot divide it further. Putting it all together, we find that 116 can be expressed as the product of its prime factors: 2 multiplied by itself twice and then by 29.