If a composite number has the first five prime numbers as factors, what is the smallest number it could be? Write that number's prime factorization.
What are the "first five prime numbers"?
1 is not counted as a prime number.
Prime numbers is something you cant like add up. 7 for example you cant do 4*2 and get 7 it gets 8 you cant get it
2310
To find the smallest number that has the first five prime numbers (2, 3, 5, 7, 11) as factors, we need to multiply them together.
The prime factorization of a number is finding the prime numbers that multiply together to give that number. So we can find the prime factorization of this smallest number by using the prime numbers mentioned above.
To list out the prime factorization, we need to divide the number by the smallest primes until we can't divide any further. We start with the smallest prime number, which is 2, and then move on to 3, 5, 7, and finally 11.
Let's proceed step by step:
Step 1: Divide the number by 2, if it is divisible. Since 2 is a prime factor, we can divide by it:
2, 3, 5, 7, 11
Step 2: Divide the number by 3, if it is divisible. In this case, our number is already a prime number (2 * 3 * 5 * 7 * 11), so we stop here.
Therefore, the smallest number that has the first five prime numbers (2, 3, 5, 7, 11) as factors is the product of these primes:
2 * 3 * 5 * 7 * 11 = 2310
So, the smallest number is 2310, and its prime factorization is:
2 * 3 * 5 * 7 * 11