### Prime Factorization

SALE TODAY: Learn Piano on iOS http://bit.ly/PianoAppSale Mahalo math expert Allison Moffett teaches about prime factorization. What Is Prime Factorization? --------------------------------------------------------------------- Any composite number can be uniquely factored into prime numbers. You can take any composite number and find one way to write it as a product of prime numbers through prime factorization.Try prime factorization with the number 84.?1. Notice that the number is even, so you immediately know it is composite and divisible by two.?2. Break down each composite factor from there.?3. You are done when all the numbers at the bottom of the tree branches are all prime. In this case, 2, 3 and 7 are all prime numbers, so you are finished.When writing prime factorizations, always write from smallest to largest and remember to use exponents when needed.?Use prime factorization to find the great common factor (GCF) or least common multiples (LCM). Question: How would you factor 180?Answer: You can divide 180 into 10 and 18. Both of those numbers can be divided further. Take 10 and divide it into two and five. Take 18 and divide it into two and nine. Two can't be divided further, but nine can be divided into three times three.Since none of the numbers left can be divided any further, you are left with two times two times three times three times five. To write this in proper notation, you would write two squared times three squared times five. Question: How would you factor 91?Answer: The only way to factor 91 is to know that seven times 13 equals 91. Since both of these numbers are prime (can't be divided any further), that's all you need to do. Read more by visiting our page at: http://www.mahalo.com/prime-factorization/

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