what is the prime factorization of 140

Start with 2 and 70 and go from there.

http://www.mathsisfun.com/prime-factorization.html

I'll be glad to check your answer.

To find the prime factorization of 140, we need to determine which prime numbers can divide evenly into 140.

First, let's divide 140 by the smallest prime number, which is 2. 140 divided by 2 equals 70.

Next, we divide 70 by 2 again, as long as it remains an even number. 70 divided by 2 equals 35.

Now, 35 is an odd number, so we move on to the next prime number, which is 3.

We divide 35 by 3, but it doesn't divide evenly. So, we try the next prime number, which is 5.

35 divided by 5 equals 7, which is a prime number and cannot be divided further.

Therefore, the prime factorization of 140 is 2 x 2 x 5 x 7, or written as powers, 2^2 x 5 x 7.