factoring
11 is already prime.
No, 11 is a prime number, you cannot break it into factors.
A prime number is when a number can be divided by 1 and itself; has only two factors. 1 is not a prime numberbecause it can only be divided by one. Not only that, but it also has to break down a composite number. When you divide a number by 1, it does not break down. It only stays the same.
That's two words and it means to break down a composite number into the product of its prime factors.
Use a factor tree. 350 175,2 35,5,2 7,5,5,2
The best way to break down a number (from the perspective of arithmetic!) is to write it as a product of its prime factors. For instance, 24 = 2 x 3 x 4 where x is the multiplication operator and of course 2, 3, and 4 are all prime numbers.
The first step in identifying factors would be to break a number down into its prime factors. In this case, the number 67 is already prime, so cannot be broken down any further. Thus, the only factors of 67 are 1 and 67. The factors of any prime number are always just 1 and itself.
You have to find the smallest prime number that can go into 76, which is 2 and find out what 76/2 is. The, you would have to take the non-prime number and find the smallest prime number that can go into that, and divide by those to numbers again. The prime number you had with 76, you would keep that and keep dividing the non-prime numbers until you end up with all prime numbers.
It's more efficient. You want to end up with all prime numbers. You could divide by a composite number, but you'd just have to break that number down later. It saves steps.
A whole number can be broken down into its prime factors through a process called prime factorization. This involves dividing the number by its smallest prime factor, then repeating the process with the quotient until all factors are prime. The resulting diagram would show the original whole number at the top, with lines connecting it to its prime factors and subsequent prime factors until all factors are prime.
The first prime number is 2. If you're wondering why 1 is not prime, well, probably because you cannot break a number down if you divide it by 1. When it comes to prime factorization, if you bring 1 into it, the number you start with will stay the same (e.g., If you star a "prime factorization tree" for 100 and start off with 1, you will still have 100. You do not "grow" another "branch.")
The breaking down of a composite number into its prime number factors.