Jump to a New ChapterAnatomy of SAT Numbers & OperationsEssential ConceptsEssential StrategiesTest-Taking StrategiesThe 8 Most Common MistakesConclusionSet 1: Multiple ChoiceSet 2: Grid-InsPosttest
 Number Terms Order of Operations Odd and Even Numbers Positive/Negative/Undecided Divisibility and Remainders Fearless Factors Multiples, Multiples, Multiples Fractions

 Decimals Percents Ratios Exponents, or The Powers That Be Roots and Radicals Sequences Sets
Fearless Factors
An integer is called a factor if it divides another integer evenly. For example, 3 is one of the factors of 6, because .
There’s no magic formula to determine the factors of any given number, although the divisibility rule on the previous page can help. For example, for the number 576, you know that the following numbers are factors:
• 2 is a factor because 6 is even.
• 3 is a factor because 5 + 7 + 6 = 18, which is divisible by 3.
• 6 is a factor because 2 and 3 are factors.
All even numbers have 2 as a factor. Lucky them. All prime numbers have two and only two factors: 1 and the number itself. Think of prime numbers as loners of sorts. The number 2 is the only even prime number. All other prime numbers are odd.
Prime Factorization
As its name suggests, prime factorization involves using prime factors. Prime factorization is like taking apart a bicycle until you have every individual piece as small as it can get: the chain, the seat, the handlebars, and so forth. To find the prime factorization of a number, you divide it and all its factors until every remaining integer is a prime number. The easiest way to solve for prime factorization is to make a pretty little tree:
 4. What is the prime factorization of 72?
Throw some tinsel on that tree, and you’ve got yourself a Christmas party.
 Jump to a New ChapterAnatomy of SAT Numbers & OperationsEssential ConceptsEssential StrategiesTest-Taking StrategiesThe 8 Most Common MistakesConclusionSet 1: Multiple ChoiceSet 2: Grid-InsPosttest
Test Prep Books
Test Prep Centers
 New SAT Test Center Mini SAT
SAT Vocab Novels
 Rave New World S.C.A.M. Sacked Busted Head Over Heels
SAT Power Tactics
 Algebra Data Analysis, Statistics & Probability Geometry Reading Passages Sentence Completions Writing Multiple-Choice Questions The Essay Test-Taking Strategies Vocabulary Builder
SparkCollege
 College Admissions Financial Aid College Life