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### 9 Cards in this Set

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 What is an integer? An integer is a number that is neither a fraction nor a decimal. Think of integers as counting numbers that you see on a number line. Zero is also an integer What is a digit? There are only 10 digits (0 through 9), from which we make an infinite number of numbers. For example, 305 is a three-digit number. 3 is the hundreds digit, 0 is the tens digit, and 5 is the ones or units digit. What is a factor? If one number divides evenly into another, then the first number is a factor of the second. For example, 3 is a factor of 12. The pairs of numbers whose product is 12 are: 1 x 12, 2 x 6, 3 x 4. Therefore, the factors of 12 are: {1,2,3,4,6, and 12}. What is a multiple? A multiple of a number is the product of that number and any other whole number. The multiples of 12 are: {12, 24, 36, 48, 60...} How do you know if number x is divisible by number y? If number x is divisible by number y , number y goes into number x evenly. Therefore, all multiples are divisible by their factors. For example, 12 is divisible by 6. What is a remainder? If a number is not divisible by another, there will be a remainder left over. For example, if you divide 26 by 7, there is a remainder of 5 What is a prime number? Prime numbers are divisible by only themselves and 1. By definition, 1 is NOT prime. Also, only positive numbers are prime. The smallest prime number (and the only even prime number) is 2. What are consecutive integers? Consecutive simply means in order by either increasing or decreasing size. A set of consecutive integers might look like this: {-3,-2,-1,0,1,2...} A set of consecutive even integers might look like this: {-4,-2,0,2,4,6...} A set of consecutive multiples of 3 might look like this: {-9,-6,-3,0,3,6...} What does distinct mean? Distinct is just a mathematical term for 'different'. If a question stipulates that a and b are distinct integers, they can't have the same value. For example, the distinct prime factors of 72 are 2 and 3 because you only want to count one 2 and one 3.