what is the prime factorization 300
3*100
3 *10*10
3*2*2*5*5
beai
To find the prime factorization of 300, we need to break it down into its prime factors.
1. Start by dividing 300 by the smallest prime number, which is 2.
300 ÷ 2 = 150
2. Now, divide the resulting number (150) by 2 again.
150 ÷ 2 = 75
3. Divide the resulting number (75) by 3, which is the next prime number.
75 ÷ 3 = 25
4. Divide the resulting number (25) by 5, which is the next prime number.
25 ÷ 5 = 5
5. Divide the resulting number (5) by 5 again, since 5 is a prime number.
5 ÷ 5 = 1
6. 1 is not divisible by any prime number other than itself, so we have reached the end.
Therefore, the prime factors of 300 are 2, 2, 3, 5, and 5.
Hence, the prime factorization of 300 is 2^2 × 3 × 5^2.
To find the prime factorization of 300, we need to break down the number into its prime factors, which are numbers that can only be divided evenly by 1 and themselves.
To begin, let's start by dividing 300 by the smallest prime number, which is 2.
300 ÷ 2 = 150
Since 150 is divisible by 2, we can divide it once again:
150 ÷ 2 = 75
Now, we continue dividing 75 by 2:
75 ÷ 2 = 37.5
Since 37.5 is not a whole number, we move on to the next prime number, which is 3.
75 ÷ 3 = 25
25 is not divisible by 3, so we try the next prime number, which is 5:
25 ÷ 5 = 5
Finally, we have reached a prime number, 5, which cannot be divided any further.
So, the prime factorization of 300 is: 2 × 2 × 3 × 5 = 2^2 × 3 × 5