Factors & Primes
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Transcript of Factors & Primes
Prime Factor Tree
Discovering Prime Factors
of Any Number
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
49 x
2 2 xx 3 3
22 x 32
2233 xx
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 xx 26
123 x
3 xx 32 2x
2 x 3x x2 3
22 x 32
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
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