 # Prime Factorization

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Videos, worksheets, stories and songs to help Grade 5 students learn how to find the prime factorization of a number.

Prime Factorization
In this lesson, students learn that the prime factorization of a number is the given number written as the product of its prime factors.
Finding the Prime Factorization of a Whole Number
Using a factor tree to find the prime factorization of 72

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).
Prime Factorization
Review of Prime Factorization

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