What is the prime factorization of 440?

To find the prime factorization of 440, we start by dividing the number by the smallest prime number and continue the process.

First, 440 is even, so we begin with 2:

• 440 ÷ 2 = 220
• 220 ÷ 2 = 110
• 110 ÷ 2 = 55

Now, 55 is not even, so we move to the next prime number, which is 3. Since 55 is not divisible by 3, we try the next prime, 5:

• 55 ÷ 5 = 11

Now we have reached 11, which is also a prime number. So, we can conclude our factorization here.

Putting it all together, the prime factorization of 440 is:

2 × 2 × 2 × 5 × 11

Or in exponential form:

2³ × 5 × 11