11 is already prime.
factoring
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.
Alright, honey, listen up. To break down a whole number into its prime factors, you basically want to find the prime numbers that multiply together to give you that number. Draw a tree diagram with branches showing how each number breaks down until you reach the prime numbers. Just remember, prime factors are like the VIPs of the number world - they're the ones that can't be divided any further.
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.
That's two words and it means to break down a composite number into the product of its prime factors.
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.
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.
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.")
1751 6817x3 4x172x2you circle the prime numbers and break down the composite numbers until they are all prime. The circled one on this that is the same between the two is 17.