give the prime factorization of 189
Try dividing 189 by 3 to see what happens.
3 * 3 * 3 * 7
Yes
To find the prime factorization of a number, you need to divide it by prime numbers until you reach a prime factor.
To find the prime factorization of 189, we can start by dividing it by the smallest prime number, which is 2. However, 189 is not divisible by 2.
Next, we try dividing it by the next prime number, which is 3. When we divide 189 by 3, we get 63.
63 can also be divided by 3, which gives us 21.
21 can be further divided by 3, which gives us 7.
Since 7 is a prime number, we can't divide it any further.
So, the prime factorization of 189 is 2 x 3 x 3 x 7, or written in exponent form, 2^0 x 3^2 x 7^1.