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Pre Algebra Help

A Factor Tree Makes Factoring Easy

An easy was to factor a number is by making a factor tree.  To make a tree, simply start with the number you want to factor.  From there, make branches of factors - numbers that multiply to give you the original number.  Next, take each of those numbers and break those down into more factors.  Continue until all the remaining numbers are prime numbers and cannot be factored anymore.

Have trouble understanding that explanation?  Take a look at the two examples shown below.

Factor Tree of 36

Original Number

Factors of 36

Factors of 9 and 4

So the factors of 36 are 2•2•3•3

Please note:  You did not have to choose 9 and 4 as the first two "branches" of the tree.  You can pick any two numbers that multiply to make 36.  Other possibilities are 6 & 6, 3 & 12, and 2 & 18.

Another Example:  How We Can Factor 48

  Factor Tree of 48

So the factors of 48 are 2•2•2•2•3

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