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Prime Numbers are numbers that CANNOT be evenly divided up no matter what you do. Their only factors are one and themselves. *Primes are like primates (monkeys) -They are less evolved numbers -Primitive -Uncomplicated Composite Numbers are numbers that can be evenly divided up by two or more numbers. *Composites are more complicated -They have more pieces 1 is special, it is neither prime nor composite. It is a factor of every number. Two is the only even prime number! Factors – Whole numbers that are multiplied to find a product are called factors of that product. A number is divisible by its factors. 2·3 =6 Product factors 6 ÷ 3 = 2 (6 is divisible by 3 and 2) 6÷2=3 Factoring a number means finding its factors. Basically, it means that you have to figure out what you could divide a number by without anything left over. (No Remainder) There are 2 ways to do this. (Well, there are probably more…but for our purposes we are only going to look at 2) Method 1: Listing List all the factors in pairs. 18 1 x 18 2x9 3x6 1 is a factor, 2 is a factor, 3 is a factor, 4 is not a factor, 5 is not a factor, 6 is a factor, 7 is not a factor, 8 is not a factor, 9 is a factor, and 18 itself is a factor. Method 2: Prime Factorization The prime factorization of a number is written as the product of its prime factors. Like monkeys swinging on the lowest branches of trees, prime numbers swing off the lowest branches of factor trees. * See I told you to stick with me on the monkey thing. Let’s say you want to factor 30. Draw two little branches down from the number and ask yourself, “What are two numbers that when multiplied together give us 30?” How about 15 and 2? Then look at both of those new numbers and ask the same question. For 15, we can split it up into 3 and 5. But for 2, there is nothing else that divided into it except 1 and itself, which means it is prime. Yes, like a monkey! We then circle the “monkeys” to keep track of them. And what about 3 and 5? They are both monkeys as well, so they also get circled. * No matter how you start a factor tree, you’ll always end up with the same prime #’s at the end. 30 5 15 x x 3 2 Each of the circled numbers is prime, so we’re done. Write 30 = 2 x 3 x 5. This is the prime factorization of 30. *taken from Math Doesn’t Suck by Danica McKellar*