Find the prime factorization of 350
2•5^2•7
To find the prime factorization of 350, we will divide it by prime numbers until we can no longer divide without getting a remainder.
First, let's divide 350 by 2:
350 ÷ 2 = 175
Next, let's divide 175 by 5:
175 ÷ 5 = 35
Now, let's divide 35 by 5 again:
35 ÷ 5 = 7
We cannot divide 7 any further because it is a prime number.
Therefore, the prime factorization of 350 is 2 x 5 x 5 x 7, or written as 2 x 5^2 x 7.
To find the prime factorization of 350, we need to break it down into its prime factors - the prime numbers that multiply together to give the original number.
To start, we divide 350 by the smallest prime number, which is 2:
350 ÷ 2 = 175
Now, we continue to divide by 2 until we can no longer divide evenly.
175 ÷ 2 = Not divisible
Next, we move on to the next prime number, which is 3:
175 ÷ 3 = 58.33 (approx.)
Since 175 is not evenly divisible by 3, we move on to the next prime number, which is 5:
175 ÷ 5 = 35
Now, we continue to divide by 5 until we can no longer divide evenly.
35 ÷ 5 = 7
Since 35 is divisible by 5 but not by any other prime numbers, we have reached the prime factorization of 350:
350 = 2 x 5 x 5 x 7
So, the prime factorization of 350 is 2 x 5 x 5 x 7.