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# Prime Factorization

## on Oct 08, 2009

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## Prime FactorizationPresentation Transcript

• Prime Factor Tree
• Definitions
• Prime Number – An integer whose only factors are 1 and itself.
• Factor – a number that can divide another number without a remainder.
• Prime Factors – an expression of numbers that divides another integer without a remainder where all the factors are prime.
• Let’s Choose a Number
• Let’s use 36
• Choose any 2 factors – let’s use 9 and 4
• Now let’s factor these numbers, too
• Next, arrange them from least to greatest
• Last, re-write as exponents
36 4 9 x 2 2 x x 3 3 2 2 x 3 2 2 2 3 3 x x
• Let’s Try That Again!
• Let’s use 36 again
• Choose any 2 factors – let’s use 3 and 12
• Now let’s factor these numbers, too
• Oops, 6 is not prime - let’s factor again!
• Next, arrange them from least to greatest
• Last, re-write as exponents
• Look, it’s the same answer!
36 3 x x 2 6 12 3 x 3 x x 3 2 2 x 2 x 3 x x 2 3 2 2 x 3 2
• Let’s Re-Cap
• Composite numbers are made up of factors
• In a Prime Factor Tree, the goal is to keep reducing each factor to its lowest possible prime factors
• When you have all the prime factors identified, re-arrange them from least to greatest and re-write them as exponents